Question

Simplify (−2ℎ)^4(4ℎ^3^5 )^2

Answer 1

`256 {h}^(34)`

Explanation:

We want to simplify:

`{( - 2h)}^(4)(4 { ({h}^(3) )}^(5) )^(2)`

Recall that:

`({a}^(m) )^(n) = {a}^(mn)`

This means that:

`{( - 2h)}^(4)(4 {( {h}^(3) )}^(5) )^(2) = 16 {h}^(4) * 16 {h}^(30)`

We now apply the product rule of exponents:

`{( - 2h)}^(4)(4 {( {h}^(3) )}^(5) )^(2) =256 {h}^(4 + 30)`

`{( - 2h)}^(4)(4 {( {h}^(3) )}^(5) )^(2) =256 {h}^(34)`