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Popular >

simplify sqrt(2)^{15}

Solution

simplify

2^{15}

Solution

1282

+1

Decimal Notation

181.01933 \dots

Solution steps

(2)^{15}

Apply exponent rule:

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

(2)^{14 + 1} = (2)^{14} 2

= (2)^{14} 2

(2)^{14} = ((2)^{2})^{7}

= ((2)^{2})^{7} 2

Apply exponent rule:

(2)^{2} = 2

= 2^{7} 2

2^{7} = 128

= 1282

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Frequently Asked Questions (FAQ)

What is sqrt(2)^{15} ?
The solution to sqrt(2)^{15} is 128sqrt(2)