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Popular >

simplify (3sqrt(3))^3

Solution

simplify

(33)^{3}

Solution

813

+1

Decimal Notation

140.29611 \dots

Solution steps

(33)^{3}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(33)^{3} = 3^{3} (3)^{3}

= 3^{3} (3)^{3}

3^{3} = 27

= 27 (3)^{3}

(3)^{3} = 33

= 27 \cdot 33

Multiply the numbers:

27 \cdot 3 = 81

= 813

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Frequently Asked Questions (FAQ)

What is (3sqrt(3))^3 ?
The solution to (3sqrt(3))^3 is 81sqrt(3)