Simplify using exponent rules 7^4*7*7^13*7^-21

3 answers

To simplify the expression 7^4 * 7 * 7^13 * 7^-21 using exponent rules, we can add the exponents of any factors with the same base.

First, let's simplify the powers of 7:
7^4 * 7 * 7^13 * 7^-21 = 7^(4 + 1 + 13 - 21).

Now, we can add the exponents:
7^(4 + 1 + 13 - 21) = 7^(-3).

This gives us the simplified expression of 7^-3.
Choose from these
28^-2
1/7^2
1/7^3
1/7^-2
The correct choice is 1/7^3
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