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Popular >

simplify (4sqrt(2))^3

Solution

simplify

(42)^{3}

Solution

1282

+1

Solution steps

(42)^{3}

Apply exponent rule:

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

(42)^{3} = 4^{3} (2)^{3}

= 4^{3} (2)^{3}

4^{3} = 64

= 64 (2)^{3}

(2)^{3} = 22

= 64 \cdot 22

Multiply the numbers:

64 \cdot 2 = 128

= 1282

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Frequently Asked Questions (FAQ)

What is (4sqrt(2))^3 ?
The solution to (4sqrt(2))^3 is 128sqrt(2)