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Popular >

simplify sqrt(18)^3

Solution

simplify

18^{3}

Solution

542

+1

Solution steps

(18)^{3}

Apply exponent rule:

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

(18)^{2 + 1} = (18)^{2} 18

= (18)^{2} 18

Apply exponent rule:

(18)^{2} = 18

= 1818

Prime factorization of

18 : 2 \cdot 3^{2}

= 18 2 \cdot 3^{2}

Apply radical rule:

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

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

= 182 3^{2}

Apply radical rule:

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

3^{2} = 3

= 182 \cdot 3

Multiply the numbers:

18 \cdot 3 = 54

= 542

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Frequently Asked Questions (FAQ)

What is sqrt(18)^3 ?
The solution to sqrt(18)^3 is 54sqrt(2)