Question

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

Answer 1

`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)`

=>

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