Simplify (−2ℎ)^4(4ℎ^3^5 )^2

asked Oct 10, 2021 160k views

2 votes

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3 votes

Answer:

$256 {h}^(34)$

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:

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

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

Albarji answered Oct 16, 2021

4.5k points

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