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Karolina [17]
3 years ago
13

Simplify (−2ℎ)^4(4ℎ^3^5 )^2

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:

256 {h}^{34}

Step-by-step 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}  \times 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}

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