Question

Simplify (−2ℎ)^4(4ℎ^3^5 )^2

Answer 1

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:

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

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