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Popular >

simplify sqrt(3)^9

Solution

simplify

3^{9}

Solution

813

+1

Decimal Notation

140.29611 \dots

Solution steps

(3)^{9}

Apply exponent rule:

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

(3)^{8 + 1} = (3)^{8} 3

= (3)^{8} 3

(3)^{8} = ((3)^{2})^{4}

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

Apply exponent rule:

(3)^{2} = 3

= 3^{4} 3

3^{4} = 81

= 813

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Frequently Asked Questions (FAQ)

What is sqrt(3)^9 ?
The solution to sqrt(3)^9 is 81sqrt(3)