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Popular >

simplify (sqrt(8^2))^4

Solution

simplify

(8^{2})^{4}

Solution

4096

Solution steps

(8^{2})^{4}

Rewrite

4

as

2 \cdot 2

= (8^{2})^{2 \cdot 2}

Apply exponent rule:

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

(8^{2})^{2 \cdot 2} = ((8^{2})^{2})^{2}

= ((8^{2})^{2})^{2}

Apply exponent rule:

(8^{2})^{2} = 8^{2}

= (8^{2})^{2}

Apply exponent rule:

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

= 8^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= 8^{4}

8^{4} = 4096

= 4096

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Frequently Asked Questions (FAQ)

What is (sqrt(8^2))^4 ?
The solution to (sqrt(8^2))^4 is 4096