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Popular >

simplify (z+1)^{3/2}(z+1)^2

Solution

simplify

(z + 1)^{\frac{3}{2}} (z + 1)^{2}

Solution

(z + 1)^{\frac{7}{2}}

Solution steps

(z + 1)^{\frac{3}{2}} (z + 1)^{2}

Apply exponent rule:

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

(z + 1)^{\frac{3}{2}} (z + 1)^{2} = (z + 1)^{\frac{3}{2} + 2}

= (z + 1)^{\frac{3}{2} + 2}

\frac{3}{2} + 2 = \frac{7}{2}

= (z + 1)^{\frac{7}{2}}

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Frequently Asked Questions (FAQ)

What is (z+1)^{3/2}(z+1)^2 ?
The solution to (z+1)^{3/2}(z+1)^2 is (z+1)^{7/2}