What is (6\sqrt[5]{x})(9\sqrt[9]{x}) ?

The solution to (6\sqrt[5]{x})(9\sqrt[9]{x}) is 54x^{14/45}

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simplify (6\sqrt[5]{x})(9\sqrt[9]{x})

simplify

54 x^{\frac{14}{45}}

Solution steps

Apply exponent rule:

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

= 6 \cdot 9 x^{\frac{1}{5} + \frac{1}{9}}

x^{\frac{1}{5} + \frac{1}{9}} = x^{\frac{14}{45}}

= 6 \cdot 9 x^{\frac{14}{45}}

Multiply the numbers:

6 \cdot 9 = 54

= 54 x^{\frac{14}{45}}

(9. 1^{9})^{2} 0.9 1^{- 6}

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What is (6\sqrt[5]{x})(9\sqrt[9]{x}) ?
The solution to (6\sqrt[5]{x})(9\sqrt[9]{x}) is 54x^{14/45}