Exponent Laws- Multiplying, Dividing, And Power

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| By Jenniferwynne
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Jenniferwynne
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Learn about three more exonent rules- multiplying, dividing, and power.

• 1.

• A.

True

• B.

False

A. True
• 2.

Simplify: to write your exponent use the ^ (shift 6)

5^9
Explanation
The given question instructs to simplify the expression 5^9. This means we need to evaluate 5 raised to the power of 9. In other words, we need to multiply 5 by itself 9 times. The correct answer is 5^9.

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• 3.

When you have a division problem, how do you simplify the exponents while keeping in exponent form?

subtract
subtract the exponents
subtracting
Explanation
When simplifying the exponents in a division problem while keeping them in exponent form, you subtract the exponents. This is because when you divide two numbers with the same base, you subtract the exponents of the base to simplify the expression. For example, if you have x^3 / x^2, you can simplify it by subtracting the exponents: x^(3-2) = x^1 = x. So, subtracting the exponents is the correct way to simplify exponents in division problems.

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• 4.

Simplify:

• A.

3^6

• B.

3^8

• C.

3^2

• D.

27

B. 3^8
Explanation
The given expression simplifies to 3 raised to the power of 8. This is because when you have the same base raised to different exponents, you can add the exponents together. Therefore, 3^6 multiplied by 3^8 is equal to 3^(6+8) which simplifies to 3^14. However, since 3^2 is also included in the expression, we subtract 3^2 from 3^14 to get 3^12. Finally, since 27 is equal to 3^3, we divide 3^12 by 3^3 to get 3^9. Therefore, the simplified expression is 3^9.

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• 5.

When you have a power raised to a power, to simplify you_______________

• A.

• B.

Subtract the exponents

• C.

Multiply the exponents

• D.

Divide the exponents

C. Multiply the exponents
Explanation
When you have a power raised to a power, to simplify, you multiply the exponents. This is because when you have a power raised to another power, you are essentially multiplying the base by itself multiple times. The exponent of the outer power represents the number of times you multiply the base, while the exponent of the inner power represents the number of times you multiply the result of the base raised to the previous power. Therefore, multiplying the exponents of the powers simplifies the expression.

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• Current Version
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Jan 29, 2013
Quiz Created by
Jenniferwynne

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