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Popular >

simplify (-sqrt(3))^4

Solution

simplify

(- 3)^{4}

Solution

9

Solution steps

(- 3)^{4}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 3)^{4} = (3)^{4}

= (3)^{4}

Apply radical rule:

a = a^{\frac{1}{2}}

= (3^{\frac{1}{2}})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 3^{\frac{1}{2} \cdot 4}

\frac{1}{2} \cdot 4 = 2

= 3^{2}

3^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

What is (-sqrt(3))^4 ?
The solution to (-sqrt(3))^4 is 9