Question

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

Answer 1

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

1/2^6

36

1/6^−2

1/36

Answer 2

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

1/26^16

1/13^16

1/13^6

Answer 3

To find an equivalent expression to 1/8^5, we need to find the reciprocal of 8^5.

The fifth power of 8 is represented by 8^5, so the reciprocal would be 1 divided by 8^5.

Therefore, the correct answer is 8^−5.

Answer 4

To find an equivalent expression to 6^−2, we need to find the reciprocal of 6^2.

The square of 6 is represented by 6^2, so the reciprocal would be 1 divided by 6^2.

Therefore, the correct answer is 1/6^2.

Answer 5

To find an equivalent expression with only positive exponents, we can apply the property of exponents which states that when multiplying two numbers with the same base, we add their exponents.

So, 13^(-5) * 13^(-11) would be equivalent to 13^(-5 + -11) = 13^(-16).

Therefore, the correct answer is 1/13^16.