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Popular >

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

Solution

simplify

4 x^{\frac{1}{3}} (4 x)

Solution

16 x^{\frac{4}{3}}

Solution steps

4 x^{\frac{1}{3}} (4 x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

4 \cdot 4 = 4^{1 + 1}

= x^{\frac{1}{3}} \cdot 4^{1 + 1} x

Add the numbers:

1 + 1 = 2

= x^{\frac{1}{3}} \cdot 4^{2} x

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{3}} x = x^{\frac{1}{3} + 1}

= 4^{2} x^{\frac{1}{3} + 1}

x^{\frac{1}{3} + 1} = x^{\frac{4}{3}}

= 4^{2} x^{\frac{4}{3}}

4^{2} = 16

= 16 x^{\frac{4}{3}}

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Frequently Asked Questions (FAQ)

What is 4x^{1/3}(4x) ?
The solution to 4x^{1/3}(4x) is 16x^{4/3}