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Popular >

simplify (4sqrt(48))^3

Solution

simplify

(448)^{3}

Solution

122883

+1

Decimal Notation

21283.44032 \dots

Solution steps

(448)^{3}

Apply exponent rule:

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

(448)^{3} = 4^{3} (48)^{3}

= 4^{3} (48)^{3}

4^{3} = 64

= 64 (48)^{3}

48 = 43

= 64 (43)^{3}

Apply exponent rule:

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

(43)^{3} = 4^{3} (3)^{3}

= 64 \cdot 4^{3} (3)^{3}

4^{3} = 64

= 64 \cdot 64 (3)^{3}

64 (3)^{3} = 1923

= 64 \cdot 1923

Multiply the numbers:

64 \cdot 192 = 12288

= 122883

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Frequently Asked Questions (FAQ)

What is (4sqrt(48))^3 ?
The solution to (4sqrt(48))^3 is 12288sqrt(3)