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Popular >

simplify (sqrt(16))^3

Solution

simplify

(16)^{3}

Solution

64

Solution steps

(16)^{3}

Apply exponent rule:

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

(16)^{2 + 1} = (16)^{2} 16

= (16)^{2} 16

Apply exponent rule:

(16)^{2} = 16

= 1616

Prime factorization of

16 : 2^{4}

= 16 2^{4}

Apply radical rule:

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

= 16 \cdot 2^{\frac{4}{2}}

Divide the numbers:

\frac{4}{2} = 2

= 16 \cdot 2^{2}

2^{2} = 4

= 16 \cdot 4

Multiply the numbers:

16 \cdot 4 = 64

= 64

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Frequently Asked Questions (FAQ)

What is (sqrt(16))^3 ?
The solution to (sqrt(16))^3 is 64