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Popular >

simplify \sqrt[3]{(27x^3)}^4

Solution

simplify

Solution

81 x^{4}

Solution steps

Apply rule:

(a) = a

(27 x^{3}) = 27 x^{3}

Apply exponent rule:

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Simplify

= 27 x^{3} \cdot 3 x

Multiply the numbers:

27 \cdot 3 = 81

= 81 x^{3} x

Apply exponent rule:

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

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

= 81 x^{3 + 1}

Add the numbers:

3 + 1 = 4

= 81 x^{4}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(27x^3)}^4 ?
The solution to \sqrt[3]{(27x^3)}^4 is 81x^4