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Popular >

simplify (16x^8)^{1/4}

Solution

simplify

(16 x^{8})^{\frac{1}{4}}

Solution

2 x^{2}

Solution steps

(16 x^{8})^{\frac{1}{4}}

Apply exponent rule:

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

(16 x^{8})^{\frac{1}{4}} = 1 6^{\frac{1}{4}} (x^{8})^{\frac{1}{4}}

= 1 6^{\frac{1}{4}} (x^{8})^{\frac{1}{4}}

1 6^{\frac{1}{4}} = 2

= 2 (x^{8})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{8})^{\frac{1}{4}} = x^{8 \cdot \frac{1}{4}}

= 2 x^{8 \cdot \frac{1}{4}}

8 \cdot \frac{1}{4} = 2

= 2 x^{2}

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Frequently Asked Questions (FAQ)

What is (16x^8)^{1/4} ?
The solution to (16x^8)^{1/4} is 2x^2