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Popular >

simplify 4096^{1/4}

Solution

simplify

409 6^{\frac{1}{4}}

Solution

8

Solution steps

409 6^{\frac{1}{4}}

Factor the number:

4096 = 8^{4}

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

Apply exponent rule:

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

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

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

= 8^{1}

Apply exponent rule:

a^{1} = a

= 8

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Frequently Asked Questions (FAQ)

What is 4096^{1/4} ?
The solution to 4096^{1/4} is 8