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Simplify (−2ℎ)^4(4ℎ^3^5 )^2

User Shurrok
by
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1 Answer

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)

User Albarji
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