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Popular >

simplify (256x^{16})^{1/4}

Solution

simplify

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

Solution

4 x^{4}

Solution steps

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

Apply exponent rule:

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

(256 x^{16})^{\frac{1}{4}} = 25 6^{\frac{1}{4}} (x^{16})^{\frac{1}{4}}

= 25 6^{\frac{1}{4}} (x^{16})^{\frac{1}{4}}

25 6^{\frac{1}{4}} = 4

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

= 4 x^{4}

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Frequently Asked Questions (FAQ)

What is (256x^{16})^{1/4} ?
The solution to (256x^{16})^{1/4} is 4x^4