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Need help solving this equation

Need help solving this equation-example-1
User Zamorite
by
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1 Answer

4 votes

Answer:

The answer is 4x

Explanation:


({64 {x}^(3) })^{ (1)/(3) }

To solve the expression convert 64 to exponential form

That's

64 = 4³

So we have


( { {4}^(3) {x}^(3) })^{ (1)/(3) }

Using the rules of indices

That's


( { {a}^(x) {b}^(y) })^(z) = {a}^(x * z) . {b}^(y * z)

So for the above expression we have


( { {4}^(3) {x}^(3) })^{ (1)/(3) } = {4}^{3 * (1)/(3) } . {x}^{3 * (1)/(3) }

Simplify the expression

We have the final answer as

4x

Hope this helps you

User Brian Douglas
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3.9k points