Question

Which of the following is equivalent to 6^-2?

a. 1/36

b. 1/6^-2

c. 36

d. 1/2^6

Answer 1

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?

a. 7^3/25^4

b. 25^4/7^-3

c. 25^4/7^3

d. 7^3 * 25^4

Answer 2

a. 1/36 is equivalent to 6^-2.

Answer 3

To rewrite the expression with only positive exponents, we can apply the property of negative integer exponents which states that a^(-b) = 1/a^b.

Applying this property to 7^3/25^-4, we get:

7^3/25^-4 = 7^3 * (1/25^4)

The answer is d. 7^3 * 25^4.