Question

Simplify
7 to the power of 8 x 7 to the power of 3 x 7 to the power of 4
7 x 7

Answer 1

7^22

Explanation

Given the expression

7^8 × 7^3 × 7^4 × 7^7

In indices

a^m × a^n = a^{m+n}

The powers are added since the base are the same

We ate going to add all the powers of the expression given since they have the same base which is 7

7^8 × 7^3 × 7^4 × 7^7

= 7^{8+3+4+7}

= 7^22

= 3.91×10^18