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Popular >

simplify (sqrt(3))^7

Solution

simplify

(3)^{7}

Solution

273

+1

Decimal Notation

46.76537 \dots

Solution steps

(3)^{7}

Apply exponent rule:

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

(3)^{6 + 1} = (3)^{6} 3

= (3)^{6} 3

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

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

Apply exponent rule:

(3)^{2} = 3

= 3^{3} 3

3^{3} = 27

= 273

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Frequently Asked Questions (FAQ)

What is (sqrt(3))^7 ?
The solution to (sqrt(3))^7 is 27sqrt(3)