What is (sqrt(25+x^2))^7 ?

The solution to (sqrt(25+x^2))^7 is (25+x^2)^3sqrt(25+x^2)

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simplify (sqrt(25+x^2))^7

simplify

(25 + x^{2})^{7}

(25 + x^{2})^{3} 25 + x^{2}

Solution steps

(25 + x^{2})^{7}

Apply exponent rule:

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

(25 + x^{2})^{6 + 1} = (25 + x^{2})^{6} 25 + x^{2}

= (25 + x^{2})^{6} 25 + x^{2}

Simplify

(25 + x^{2})^{6} : ((25 + x^{2})^{2})^{3}

= ((25 + x^{2})^{2})^{3} 25 + x^{2}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(25 + x^{2})^{2} = 25 + x^{2}

= (25 + x^{2})^{3} 25 + x^{2}

(1 - 3 i)^{3}

(- 8) - (- 6)

(5^{x} + 5^{- x})^{2}

4 \frac{2}{3} - 3 \frac{1}{6} + 2

(u + 2) (u - 2) (u^{2} + 4)

What is (sqrt(25+x^2))^7 ?
The solution to (sqrt(25+x^2))^7 is (25+x^2)^3sqrt(25+x^2)