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Popular >

simplify sqrt(2^9)

Solution

simplify

2^{9}

Solution

162

+1

Solution steps

2^{9}

Apply exponent rule:

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

2^{8 + 1} = 2^{8} \cdot 2

= 2^{8} \cdot 2

Apply radical rule:

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

2^{8} \cdot 2 = 2^{8} 2

= 2^{8} 2

2^{8} = 16

= 162

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Frequently Asked Questions (FAQ)

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