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Popular >

simplify (sqrt(x^2+y^2))^4

Solution

simplify

(x^{2} + y^{2})^{4}

Solution

(x^{2} + y^{2})^{2}

Solution steps

(x^{2} + y^{2})^{4}

Rewrite

4

as

2 \cdot 2

= (x^{2} + y^{2})^{2 \cdot 2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{2} + y^{2})^{2 \cdot 2} = ((x^{2} + y^{2})^{2})^{2}

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

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

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

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Frequently Asked Questions (FAQ)

What is (sqrt(x^2+y^2))^4 ?
The solution to (sqrt(x^2+y^2))^4 is (x^2+y^2)^2