What is \sqrt[3]{a^{2x+2}}*\sqrt[3]{a^{x+1}} ?

The solution to \sqrt[3]{a^{2x+2}}*\sqrt[3]{a^{x+1}} is a^{x+1}

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simplify \sqrt[3]{a^{2x+2}}*\sqrt[3]{a^{x+1}}

simplify

a^{x + 1}

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

a^{2 x + 2} a^{x + 1} : a^{3 x + 3}

Apply radical rule:

assuming

a \geq 0

= a^{\frac{3 x + 3}{3}}

\frac{3 x + 3}{3} = x + 1

= a^{x + 1}

(e^{\frac{t}{2}})^{2}

e^{- x^{2}} sin (x)

(30)^{2}

e^{- 2.9}

(\frac{2}{5})^{9} \cdot (\frac{3}{7})^{9}

What is \sqrt[3]{a^{2x+2}}*\sqrt[3]{a^{x+1}} ?
The solution to \sqrt[3]{a^{2x+2}}*\sqrt[3]{a^{x+1}} is a^{x+1}