Apply the Property of Negative Integer Exponents to rewrite 7^-3 x 7^-5 with postive exponents only

Answer 1

To apply the property of negative integer exponents, we can rewrite the expression as the reciprocal of the corresponding positive exponent of 7.

7^-3 x 7^-5 = 1/(7^3) x 1/(7^5)

Now, let's simplify the expression by combining the two fractions:

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

To simplify further, we can use the property of exponents to add the exponents of 7:

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

Lastly, simplifying the exponent:

1/7^(3+5) = 1/7^8

Therefore, 7^-3 x 7^-5 can be rewritten with positive exponents only as 1/7^8.