rewrite using a single positive exponent

7^-7(7^3)

1/7^(7-3) = 1/7^4

To rewrite the expression using a single positive exponent, we can follow the rule that when we have the same base raised to different exponents, we can simplify by adding the exponents.

So, we have 7 raised to the power of -7 multiplied by 7 raised to the power of 3.

We can rewrite this as 7^(-7 + 3).

Simplifying the exponent, we have 7^(-4).

Therefore, the expression 7^-7(7^3) can be rewritten as 7^(-4).