Simplify the following expression:7^-6 × 7^3

Question

asked Jan 16, 2023 34.2k views

1 Answer

Benny Khoo · Answer 1 · 2023-01-20T09:58:16+0000

$7^(-6)\text{ x 7}^3$

To solve this question, we will apply the knowledge of exponents and indices

The values have the same bases (7) but different powers and they are separated by a multiplication sign.

So we can use the law:

$a^{x\text{ }}\text{ x a}^{y\text{ }}=a^{x\text{ + y}}$

so that

$7^(-6)\text{ x 7}^3=7^{-6\text{ + 3}}$

on simplifying will give

=>

$7^(-3)\text{ =}(1)/(7^3)$