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Popular >

simplify (sqrt(2x^2))^6

Solution

simplify

(2 x^{2})^{6}

Solution

8 x^{6}

Solution steps

(2 x^{2})^{6}

Rewrite

6

as

2 \cdot 3

= (2 x^{2})^{2 \cdot 3}

Apply exponent rule:

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

assuming

a \geq 0

(2 x^{2})^{2 \cdot 3} = ((2 x^{2})^{2})^{3}

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(2 x^{2})^{2} = 2 x^{2}

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

2^{3} = 8

= 8 (x^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(x^{2})^{3} = x^{2 \cdot 3}

= 8 x^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 8 x^{6}

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Frequently Asked Questions (FAQ)

What is (sqrt(2x^2))^6 ?
The solution to (sqrt(2x^2))^6 is 8x^6