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Popular >

simplify (2x^{1/4})^4

Solution

simplify

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

Solution

16 x

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x^{\frac{1}{4}})^{4} = 2^{4} (x^{\frac{1}{4}})^{4}

= 2^{4} (x^{\frac{1}{4}})^{4}

2^{4} = 16

= 16 (x^{\frac{1}{4}})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{\frac{1}{4}})^{4} = x^{\frac{1}{4} \cdot 4}

= 16 x^{\frac{1}{4} \cdot 4}

\frac{1}{4} \cdot 4 = 1

= 16 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 16 x

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Frequently Asked Questions (FAQ)

What is (2x^{1/4})^4 ?
The solution to (2x^{1/4})^4 is 16x