Question

Rewrite the expression in the form 7^n

7^2 x 7^6

Answer 1

The expression in the form
`7^n`

`7^2* \:\:7^6=7^n`

Explanation:

`7^2\:* \:7^6`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^b* \:a^c=a^(b+c)`

`7^2* \:7^6=7^(2+6)`

So the expression becomes

`7^2\:* \:7^6=7^(2+6)`

`=7^(2+6)`

Add the numbers: 2+6=8

`=7^8`

Therefore, the expression in the form
`7^n`

`7^2* \:\:7^6=7^8`