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Popular >

simplify sqrt(2)^7

Solution

simplify

2^{7}

Solution

82

+1

Decimal Notation

11.31370 \dots

Solution steps

(2)^{7}

Apply exponent rule:

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

(2)^{6 + 1} = (2)^{6} 2

= (2)^{6} 2

(2)^{6} = ((2)^{2})^{3}

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

Apply exponent rule:

(2)^{2} = 2

= 2^{3} 2

2^{3} = 8

= 82

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Frequently Asked Questions (FAQ)

What is sqrt(2)^7 ?
The solution to sqrt(2)^7 is 8sqrt(2)