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Popular >

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

Solution

simplify

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

Solution

4

Solution steps

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

1 6^{4} = 256

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

Factor the number:

256 = 4^{4}

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

Apply exponent rule:

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

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

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

= 4^{1}

Apply exponent rule:

a^{1} = a

= 4

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Frequently Asked Questions (FAQ)

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