Question

pply the Property of Negative Integer Exponents to rewrite 7^-3.7^-5
as an expression with positive exponents only.

Answer 1

To apply the property of negative integer exponents, we can rewrite 7^-3 as 1/7^3 and 7^-5 as 1/7^5.

Therefore, 7^-3.7^-5 can be rewritten as (1/7^3) * (1/7^5).

To simplify further, we can combine the fractions by multiplying the numerators and multiplying the denominators.

(1/7^3) * (1/7^5) = 1/(7^3 * 7^5)

Using the property of exponents, we know that when we multiply two numbers with the same base, we add the exponents.

So, 7^3 * 7^5 = 7^(3+5) = 7^8

Therefore, 7^-3.7^-5 can be rewritten as 1/7^8, where the exponent is positive.