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Popular >

simplify sqrt(4)^3

Solution

simplify

4^{3}

Solution

8

Solution steps

(4)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(4)^{2 + 1} = (4)^{2} 4

= (4)^{2} 4

Apply exponent rule:

(4)^{2} = 4

= 44

Prime factorization of

4 : 2^{2}

= 4 2^{2}

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= 4 \cdot 2

Multiply the numbers:

4 \cdot 2 = 8

= 8

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Frequently Asked Questions (FAQ)

What is sqrt(4)^3 ?
The solution to sqrt(4)^3 is 8