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Popular >

simplify sqrt(3^4*5^6)

Solution

simplify

3^{4} \cdot 5^{6}

Solution

1125

Solution steps

3^{4} \cdot 5^{6}

Apply radical rule:

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

3^{4} \cdot 5^{6} = 3^{4} 5^{6}

= 3^{4} 5^{6}

3^{4} = 9

= 9 5^{6}

5^{6} = 125

= 9 \cdot 125

Multiply the numbers:

9 \cdot 125 = 1125

= 1125

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Frequently Asked Questions (FAQ)

What is sqrt(3^4*5^6) ?
The solution to sqrt(3^4*5^6) is 1125