What is sqrt(216)^3 ?

The solution to sqrt(216)^3 is 1296sqrt(6)

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Popular >

simplify sqrt(216)^3

simplify

216^{3}

12966

Decimal Notation

3174.53870 \dots

Solution steps

(216)^{3}

Apply exponent rule:

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

(216)^{2 + 1} = (216)^{2} 216

= (216)^{2} 216

Apply exponent rule:

(216)^{2} = 216

= 216216

Prime factorization of

216 : 2^{3} \cdot 3^{3}

= 216 2^{3} \cdot 3^{3}

Apply exponent rule:

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

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

= 216 2^{2} \cdot 2 \cdot 3^{2} \cdot 3

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

= 216 2^{2} 3^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 216 \cdot 2 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 216 \cdot 2 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 216 \cdot 66

Multiply the numbers:

216 \cdot 6 = 1296

= 12966

x \times e^{- \frac{x}{20}}

11^{5}

2 \cdot a \cdot (2 \cdot a)^{(- 2)}

(4 x^{2} y) (6 x y^{2})