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Popular >

simplify sqrt(3^{11)}

Solution

simplify

3^{11}

Solution

2433

+1

Decimal Notation

420.88834 \dots

Solution steps

3^{11}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{10 + 1} = 3^{10} \cdot 3

= 3^{10} \cdot 3

Apply radical rule:

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

3^{10} \cdot 3 = 3^{10} 3

= 3^{10} 3

3^{10} = 243

= 2433

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Frequently Asked Questions (FAQ)

What is sqrt(3^{11)} ?
The solution to sqrt(3^{11)} is 243sqrt(3)