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Popular >

simplify sqrt(9)^3

Solution

simplify

9^{3}

Solution

27

Solution steps

(9)^{3}

Apply exponent rule:

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

(9)^{2 + 1} = (9)^{2} 9

= (9)^{2} 9

Apply exponent rule:

(9)^{2} = 9

= 99

Prime factorization of

9 : 3^{2}

= 9 3^{2}

Apply radical rule:

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

3^{2} = 3

= 9 \cdot 3

Multiply the numbers:

9 \cdot 3 = 27

= 27

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Frequently Asked Questions (FAQ)

What is sqrt(9)^3 ?
The solution to sqrt(9)^3 is 27