Integer And Rational Exponents Quiz

1. Which of the following is equivalent to the given expression?

256 to the power of 1 fourth end exponent

None of these are equivalent

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Explanation

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2. Which of the following is equivalent to the given expression?

5 to the power of minus 3 end exponent

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Explanation

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3. Which of the following is equivalent to the given expression?

27 to the power of 1 third end exponent

None of these are equivalent

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Explanation

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4. Which of the following is equivalent to the given expression?

6 to the power of minus 3 end exponent

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Explanation

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5. Evaluate the given expression for the given value(s) of the variable(s).

x to the power of minus 4 end exponent

for

x equals 2

.

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Explanation

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6. Simplify.

b to the power of 4 g to the power of minus 5 end exponent

Answer is not here

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Explanation

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7. Evaluate the given expression for the given value(s) of the variable(s).

left parenthesis c plus 3 right parenthesis to the power of minus 3 end exponent

for

c equals minus 6

.

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Explanation

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8. Which of the following is equivalent to the given expression?

minus 2 to the power of minus 5 end exponent

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Explanation

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9. Which of the following is equivalent to the given expression?

3 to the power of minus 4 end exponent

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Explanation

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10. Which of the following is equivalent to the given expression?

0 to the power of 1 fifth end exponent

None of these are equivalent

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Explanation

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11. What does it mean to simplify an algebraic expression containing negative and/or zero exponents?

It means to rewrite the expression with only positive exponents

It means to substitute values for the variables and find the value of the expression.

It means to combine all of the exponents of like variables.

It means to use the quadratic formula to solve for the value of the variable.

To simplify an algebraic expression containing negative and/or zero exponents means to rewrite the expression with only positive exponents. This is done by applying the rules of exponents, such as moving negative exponents to the denominator and converting zero exponents to a value of 1. By simplifying the expression in this way, it becomes easier to work with and evaluate.

Explanation

To simplify an algebraic expression containing negative and/or zero exponents means to rewrite the expression with only positive exponents. This is done by applying the rules of exponents, such as moving negative exponents to the denominator and converting zero exponents to a value of 1. By simplifying the expression in this way, it becomes easier to work with and evaluate.

12. Which of the following is equivalent to the given expression?

square root of x squared y to the power of 6 end root

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Explanation

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13. Simplify.

k to the power of minus 3 end exponent over r to the power of 5

Answer is not here

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Explanation

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14. Which of the following is equivalent to the given expression?

169 to the power of 1 half end exponent

None of these are equivalent

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Explanation

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15. Simplify.

fraction numerator f squared over denominator 3 a to the power of minus 4 end exponent end fraction

Answer is not here

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Explanation

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16. Simplify.

fraction numerator z to the power of minus 4 end exponent over denominator 5 t to the power of minus 2 end exponent end fraction

Answer is not here

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Explanation

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17. Simplify.

3 f to the power of minus 1 end exponent y to the power of minus 5 end exponent

Answer is not here

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Explanation

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18. Which of the following is equivalent to the given expression?

1 to the power of minus 7 end exponent

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Explanation

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19. Which of the following is equivalent to the given expression?

4 to the power of 3 over 2 end exponent

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Explanation

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20. Which of the following is equivalent to the given expression?

minus 4 to the power of 0

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Explanation

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21. Simplify.

5 s to the power of minus 3 end exponent c to the power of 0

Answer is not here

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Explanation

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22. Which of the following is NOT an explanation of the rule for simplifying expressions containing a negative exponent?

Use the reciprocal of the base and change the exponent to a positive number.

Use the denominator of the exponent as a root of the base. Use the numerator as a power.

Use 1 divided by that base raised to the opposite (positive) exponent.

Make the exponent positive and move the factor to the other side of the fraction bar.

The rule for simplifying expressions containing a negative exponent states that we can use the reciprocal of the base and change the exponent to a positive number. We can also use 1 divided by that base raised to the opposite (positive) exponent. Another way to simplify is to make the exponent positive and move the factor to the other side of the fraction bar. However, using the denominator of the exponent as a root of the base and using the numerator as a power is not a valid explanation of the rule.

Explanation

The rule for simplifying expressions containing a negative exponent states that we can use the reciprocal of the base and change the exponent to a positive number. We can also use 1 divided by that base raised to the opposite (positive) exponent. Another way to simplify is to make the exponent positive and move the factor to the other side of the fraction bar. However, using the denominator of the exponent as a root of the base and using the numerator as a power is not a valid explanation of the rule.

23. Which of the following is equivalent to the given expression?

3 root of a to the power of 9 b to the power of 15 end root

All of these are equivalent

The given answer states that all of the options provided are equivalent to the given expression. This means that no matter which option is chosen, it will result in the same outcome as the given expression. Therefore, all of the options are considered to be equivalent.

Explanation

The given answer states that all of the options provided are equivalent to the given expression. This means that no matter which option is chosen, it will result in the same outcome as the given expression. Therefore, all of the options are considered to be equivalent.

24. Evaluate the given expression for the given value(s) of the variable(s).