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Popular >

simplify sqrt(3)^5

Solution

simplify

3^{5}

Solution

93

+1

Decimal Notation

15.58845 \dots

Solution steps

(3)^{5}

Apply exponent rule:

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

(3)^{4 + 1} = (3)^{4} 3

= (3)^{4} 3

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

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

Apply exponent rule:

(3)^{2} = 3

= 3^{2} 3

3^{2} = 9

= 93

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Frequently Asked Questions (FAQ)

What is sqrt(3)^5 ?
The solution to sqrt(3)^5 is 9sqrt(3)