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Popular >

simplify (16^2)^{1/4}

Solution

simplify

(1 6^{2})^{\frac{1}{4}}

Solution

4

Solution steps

(1 6^{2})^{\frac{1}{4}}

Apply exponent rule:

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

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

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

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

Factor the number:

16 = 4^{2}

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

Apply exponent rule:

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

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

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

= 4^{1}

Apply exponent rule:

a^{1} = a

= 4

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Frequently Asked Questions (FAQ)

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