Question

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

Answer 1

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

Answer 2

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?

Answer 3

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?

Answer 4

1/36

Answer 5

13^-5 ⋅ 13^-11 can be simplified by adding the exponents:

13^(-5-11) = 13^-16

Answer 6

To simplify the expression 14^(-7) * 9^(-13), we can apply the Property of Negative Integer Exponents, which states that a^(-n) = 1 / a^n.

Using this property, we can rewrite the expression as:

1 / (14^7) * 1 / (9^13)

Simplifying further, we get:

(1 / (14^7)) * (1 / (9^13))

Therefore, the equivalent expression with only positive exponents, generated by applying the Property of Negative Integer Exponents, is 1 / (14^7 * 9^13).

Answer 7

To simplify the expression 7^3/25^(-4), we can apply the Property of Negative Integer Exponents, which states that a^(-n) = 1 / a^n.

Using this property, we can rewrite the expression as:

7^3 / (1 / 25^4)

Simplifying further, we get:

7^3 * 25^4

Therefore, the equivalent expression with only positive exponents, generated by applying the Property of Negative Integer Exponents, is 7^3 * 25^4.