Mathematics Exponents Unit 1 Exam

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3) Express using exponents.

x times y times x times x times y times x

X^4 * y^2

4x2y

Xxxxyyy

Xy^2

The given expression x^4 * y^2 represents the product of x raised to the power of 4 and y raised to the power of 2. This can be simplified as x^4 * y^2.

Explanation

The given expression x^4 * y^2 represents the product of x raised to the power of 4 and y raised to the power of 2. This can be simplified as x^4 * y^2.

4) Convert

2.7 space x space 10 to the power of 6

to standard form.

The given number, 2700000, can be written in standard form as 2,700,000. Standard form is a way of writing numbers using digits and place value. In this case, the number is written with commas separating groups of three digits to make it easier to read and understand.

Explanation

The given number, 2700000, can be written in standard form as 2,700,000. Standard form is a way of writing numbers using digits and place value. In this case, the number is written with commas separating groups of three digits to make it easier to read and understand.

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5) $C o n v e r t space 3.8 space x space 10 to the power of minus 3 end exponent space t o space s tan d a r d space f o r m. space$ Please fill answer below

The answer is 0.0038 because it is a decimal representation of the given numbers 0.0038 and .0038. These numbers are the same, just written in different formats.

Explanation

The answer is 0.0038 because it is a decimal representation of the given numbers 0.0038 and .0038. These numbers are the same, just written in different formats.

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6) $x to the power of 4 times x cubed$

X^7

X^12

7x

X^1

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Explanation

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7) $3 to the power of 8 over 3 squared$

3^6

3^4

3^10

3

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Explanation

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8) $open parentheses x squared close parentheses to the power of 4$

X^8

X^6

X^2

X^24

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Explanation

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9) $6 g cubed times 5 g squared$

30g^5

11g^5

30g^6

11g^6

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Explanation

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10) Write 74,000 in scientific notation

7.4 x 10^4

74 x 10^3

.74 x 10^5

7.4 x 10^5

The scientific notation is a way to express very large or very small numbers in a concise form. In this case, the number 74,000 can be written as 7.4 multiplied by 10 raised to the power of 4. This means that we move the decimal point 4 places to the right to get the original number. Therefore, the correct answer is 7.4 x 10^4.

Explanation

The scientific notation is a way to express very large or very small numbers in a concise form. In this case, the number 74,000 can be written as 7.4 multiplied by 10 raised to the power of 4. This means that we move the decimal point 4 places to the right to get the original number. Therefore, the correct answer is 7.4 x 10^4.

11) $square root of 26$ is greater than 5.

True

False

The given answer is true because the statement "is greater than 5" implies that the value being referred to is larger than 5. Since there is no specific value mentioned in the question, we can assume that any value greater than 5 would make the statement true.

Explanation

The given answer is true because the statement "is greater than 5" implies that the value being referred to is larger than 5. Since there is no specific value mentioned in the question, we can assume that any value greater than 5 would make the statement true.

12) Express using exponents $minus 5 space times space minus 5 space times space minus 5$

-5^3

-15

-1/125

5^-3

The given expression is -5^3. In this expression, the negative sign applies only to the base, which is 5. The exponent, 3, indicates that 5 is multiplied by itself three times. Therefore, -5^3 is equal to -5 * 5 * 5, which is -125.

Explanation

The given expression is -5^3. In this expression, the negative sign applies only to the base, which is 5. The exponent, 3, indicates that 5 is multiplied by itself three times. Therefore, -5^3 is equal to -5 * 5 * 5, which is -125.

13) $fraction numerator 6 a to the power of 7 over denominator 2 a end fraction$

3a^6

4a^6

4a^8

3a^7

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Explanation

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14) Write 0.000009 in scientific notation.

9 x 10^-6

9 x 10^6

0.9 x 10^5

0.9 x 10^-5

The given number, 0.000009, can be expressed in scientific notation as 9 x 10^-6. In scientific notation, the number is written as a decimal between 1 and 10, multiplied by a power of 10. In this case, the decimal is 9, and it is multiplied by 10 raised to the power of -6, indicating that the decimal point should be moved 6 places to the left to obtain the original number.

Explanation

The given number, 0.000009, can be expressed in scientific notation as 9 x 10^-6. In scientific notation, the number is written as a decimal between 1 and 10, multiplied by a power of 10. In this case, the decimal is 9, and it is multiplied by 10 raised to the power of -6, indicating that the decimal point should be moved 6 places to the left to obtain the original number.

15) What number is equivalent to $space 2 to the power of minus 4 end exponent$ ?

1/16

-1/16

16

-16

The given correct answer is 1/16 because it is the only option that matches the given number 1/16. The other options (-1/16, 16, -16) do not have the same value as 1/16.

Explanation

The given correct answer is 1/16 because it is the only option that matches the given number 1/16. The other options (-1/16, 16, -16) do not have the same value as 1/16.

16) $open parentheses 2 c squared close parentheses cubed$

8c^6

6c^6

2c^6

2c^5

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Explanation

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17) $W h i c h space n u m b e r space i s space e q u i v a l e n t space t o space minus 6 to the power of minus 2 end exponent ?$

1/36

-1/36

36

-36

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Explanation

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18) $open parentheses 6.78 space x space 10 to the power of 5 close parentheses space plus space open parentheses 3.8 space x space 10 to the power of 4 close parentheses$

7.16 x 10^5

71.6 x 10^4

71.6 x 10^5

10.58 x 10^9

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Explanation

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19) $M u l t i p l y space open parentheses 3.7 space x space 10 to the power of 5 close parentheses x open parentheses 4 space x space 10 cubed close parentheses$