Question

Simplify simplify simplify simplify

Answer 1

`{3}^(2)`

Explanation:

`{3}^( - 6) * ( {3}^(4) / {3}^(0) {)}^(2)`

`{3}^(4) / {3}^(0) = {3}^(4 + 0) = {3}^(4)`

`{3}^( - 6) * ( {3}^(4) {)}^(2)`

`( {3}^(4) {)}^(2) = {3}^(4 * 2) = {3}^(8)`

`{3}^( - 6) * {3}^(8) = {3}^( - 6 + 8) = {3}^(2)`

`\boxed{\green{= {3}^(2) }}`

Answer 2

`\boxed{\sf a^m* a^n=a^(m+n)}`

`\boxed{\sf a^m/ a^n=a^(m-n)}`

`\\ \sf\longmapsto 3^(-6)*( 3^4/ 3^0)^2`

`\\ \sf\longmapsto 3^(-6)* (3^(4-0))^2`

`\\ \sf\longmapsto 3^(-6)* 3^(4(2))`

`\\ \sf\longmapsto 3^(-6)* 3^8`

`\\ \sf\longmapsto 3^(-6+8)`

`\\ \sf\longmapsto 3^2`