Question

Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−3⋅7−5 with positive exponents only.(1 point)
7−3⋅7−5=

Answer 1

To apply the Property of Negative Integer Exponents and generate an expression with positive exponents only, we can rewrite it as:

7^(-3) * 7^(-5)

According to the Property of Negative Integer Exponents, we know that when multiplying two numbers with the same base but different negative exponents, we can add the exponents:

7^(-3) * 7^(-5) = 7^(-3 + (-5))

Simplifying the exponents:

= 7^(-8)

To make the exponent positive, we can rewrite it as:

= 1/7^8

So, the expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 1/7^8.