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Popular >

simplify (2sqrt(3))^4

Solution

simplify

(23)^{4}

Solution

144

Solution steps

(23)^{4}

Apply exponent rule:

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

(23)^{4} = 2^{4} (3)^{4}

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

2^{4} = 16

= 16 (3)^{4}

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

= 3^{2} \cdot 16

3^{2} = 9

= 16 \cdot 9

Multiply the numbers:

16 \cdot 9 = 144

= 144

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Frequently Asked Questions (FAQ)

What is (2sqrt(3))^4 ?
The solution to (2sqrt(3))^4 is 144