Which of the following is developed to be equivalent to 1/8^5?(1 point)

Question

Which of the following is developed to be equivalent to 1/8^5?(1 point)

Responses

8^−5
8 superscript negative 5 baseline

8/15
8 Start Fraction 1 over 5 End Fraction

8^5
8 superscript 5 baseline

5^−8

Answer 1

5 superscript negative 8 baseline

Answer 2

Which of the following is equivalent to 6^−2?(1 point)

Responses

1/6^−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction

36
36

1/2^6
Start Fraction 1 over 2 superscript 6 baseline End Fraction

1/36

Answer 3

3 of 53 of 5 Items

Question
Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
Responses

1/26^6
Start Fraction 1 over 26 superscript 6 baseline end fraction

1/26^16
Start Fraction 1 over 26 superscript 16 baseline end fraction

1/13^6
Start Fraction 1 over 13 Superscript 6 baseline End Fraction

1/13^16

Answer 4

4 of 54 of 5 Items

Question
Which of the following is an equivalent expression to 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses

9^13/14^7
Start Fraction 9 superscript 13 baseline over 14 superscript 7 baseline end fraction

14^−7⋅9^13
14 superscript negative 7 baseline times 9 superscript 13 baseline

1/9^13 ⋅14^−7
Start Fraction 1 over 9 superscript 13 baseline times 14 superscript negative 7 baseline End Fraction

14^7/9^13

Answer 5

Which of the following is an equivalent expression to 7^3/25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)

Responses

25^4/7^−3
Start Fraction 25 superscript 4 baseline over 7 negative cubed end fraction

25^4/7^3
Start Fraction 25 superscript 4 baseline over 7 cubed end fraction

7^3⋅25^4
7 cubed times 25 superscript 4 baseline

7^3/25^4

Answer 6

To determine which of the options is equivalent to 1/8^5, we need to simplify the expression 1/8^5.

The exponent, when written with a negative sign, indicates that we need to find the reciprocal of the base raised to that exponent. Therefore, 8^-5 is equivalent to 1/8^5.

Hence, the correct answer is: 8^-5.