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Popular >

simplify sqrt(3^4\times 2^6)

Solution

simplify

3^{4} \cdot 2^{6}

Solution

72

Solution steps

3^{4} \cdot 2^{6}

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3^{4} \cdot 2^{6} = 3^{4} 2^{6}

= 3^{4} 2^{6}

3^{4} = 9

= 9 2^{6}

2^{6} = 8

= 9 \cdot 8

Multiply the numbers:

9 \cdot 8 = 72

= 72

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Frequently Asked Questions (FAQ)

What is sqrt(3^4\times 2^6) ?
The solution to sqrt(3^4\times 2^6) is 72