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Popular >

simplify (16)^{1/4}

Solution

simplify

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

Solution

2

Solution steps

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

Factor the number:

16 = 2^{4}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

= 2^{1}

Apply exponent rule:

a^{1} = a

= 2

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Frequently Asked Questions (FAQ)

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