Which of the following is the equivalent expression to (13−^7)^0 ⋅ 7−^11/7−9 generated by applying the properties of exponents?(1 point)%0D%0AResponses%0D%0A%0D%0A149

Answer 1

The equivalent expression to (13^(-7))^0 * 7^(-11) / 7^(-9) generated by applying the properties of exponents is:

1 * (1 / 7^(-11)) / 7^(-9)

Using the property a^(-n) = 1 / a^n, we can rewrite this as:

1 / 7^(-11) * 7^9

Simplifying further, we get:

7^9 / 7^(-11)

Using the property a^n / a^m = a^(n-m), we can simplify this expression to:

7^(9 - (-11))

Simplifying the subtraction, we get:

7^(9 + 11)

Which is equivalent to:

7^20

Therefore, the equivalent expression is 7^20.