What is ((a^2+b)^{3/2})/(a^2+b) ?

The solution to ((a^2+b)^{3/2})/(a^2+b) is (a^2+b)^{1/2}

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simplify ((a^2+b)^{3/2})/(a^2+b)

simplify

\frac{( a ^{2} + b ) ^{\frac{3}{2}}}{a ^{2} + b}

(a^{2} + b)^{\frac{1}{2}}

Solution steps

\frac{( a ^{2} + b ) ^{\frac{3}{2}}}{a ^{2} + b}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= (a^{2} + b)^{\frac{3}{2} - 1}

\frac{3}{2} - 1 = \frac{1}{2}

= (a^{2} + b)^{\frac{1}{2}}

160

8 2^{2}

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What is ((a^2+b)^{3/2})/(a^2+b) ?
The solution to ((a^2+b)^{3/2})/(a^2+b) is (a^2+b)^{1/2}