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Popular >

simplify (2sqrt(3))^5

Solution

simplify

(23)^{5}

Solution

2883

+1

Decimal Notation

498.83063 \dots

Solution steps

(23)^{5}

Apply exponent rule:

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

(23)^{5} = 2^{5} (3)^{5}

= 2^{5} (3)^{5}

2^{5} = 32

= 32 (3)^{5}

(3)^{5} = 3^{2} 3

= 3^{2} \cdot 323

3^{2} = 9

= 32 \cdot 93

Multiply the numbers:

32 \cdot 9 = 288

= 2883

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Frequently Asked Questions (FAQ)

What is (2sqrt(3))^5 ?
The solution to (2sqrt(3))^5 is 288sqrt(3)