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Popular >

simplify sqrt(2)^9

Solution

simplify

2^{9}

Solution

162

+1

Decimal Notation

22.62741 \dots

Solution steps

(2)^{9}

Apply exponent rule:

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

(2)^{8 + 1} = (2)^{8} 2

= (2)^{8} 2

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

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

Apply exponent rule:

(2)^{2} = 2

= 2^{4} 2

2^{4} = 16

= 162

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Frequently Asked Questions (FAQ)

What is sqrt(2)^9 ?
The solution to sqrt(2)^9 is 16sqrt(2)