What is simplify-9x\sqrt[3]{2}(2x\sqrt[4]{2}) ?

The solution to simplify-9x\sqrt[3]{2}(2x\sqrt[4]{2}) is -18*2^{7/12}x^2

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simplify-9x\sqrt[3]{2}(2x\sqrt[4]{2})

simplify

- 18 \cdot 2^{\frac{7}{12}} x^{2}

Solution steps

Apply exponent rule:

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

= - 9 x \cdot 2 x \cdot 2^{\frac{1}{3} + \frac{1}{4}}

Apply exponent rule:

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

xx = x^{1 + 1}

= - 9 \cdot 2 x^{1 + 1} \cdot 2^{\frac{1}{3} + \frac{1}{4}}

Add the numbers:

1 + 1 = 2

= - 9 \cdot 2 x^{2} \cdot 2^{\frac{1}{3} + \frac{1}{4}}

2^{\frac{1}{3} + \frac{1}{4}} = 2^{\frac{7}{12}}

= - 9 \cdot 2 \cdot 2^{\frac{7}{12}} x^{2}

Multiply the numbers:

9 \cdot 2 = 18

= - 18 \cdot 2^{\frac{7}{12}} x^{2}

6.5 \cdot 1 0^{- 6}

0.2 \cdot e^{- 0.2}

9^{\frac{1}{3}} \cdot 3^{\frac{1}{3}}

2.9 \times 1 0^{- 4}

What is simplify-9x\sqrt[3]{2}(2x\sqrt[4]{2}) ?
The solution to simplify-9x\sqrt[3]{2}(2x\sqrt[4]{2}) is -18*2^{7/12}x^2