What is (sqrt(36))^3 ?

The solution to (sqrt(36))^3 is 216

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simplify (sqrt(36))^3

simplify

(36)^{3}

216

Solution steps

(36)^{3}

Apply exponent rule:

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

(36)^{2 + 1} = (36)^{2} 36

= (36)^{2} 36

Apply exponent rule:

(36)^{2} = 36

= 3636

Prime factorization of

36 : 2^{2} \cdot 3^{2}

= 36 2^{2} \cdot 3^{2}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{2} \cdot 3^{2} = 2^{2} 3^{2}

= 36 2^{2} 3^{2}

Apply radical rule:

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

2^{2} = 2

= 36 \cdot 2 3^{2}

Apply radical rule:

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

3^{2} = 3

= 36 \cdot 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 36 \cdot 6

Multiply the numbers:

36 \cdot 6 = 216

= 216

z^{36}

2 4^{\frac{2}{3}}

\frac{3}{4} ab - \frac{5}{12} ab

(- 125) \frac{- 1}{3}