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Popular >

simplify (3x^{2/3})(3x^{1/3})

Solution

simplify

(3 x^{\frac{2}{3}}) (3 x^{\frac{1}{3}})

Solution

9 x

Solution steps

(3 x^{\frac{2}{3}}) (3 x^{\frac{1}{3}})

Apply exponent rule:

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

3 \cdot 3 = 3^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= x^{\frac{2}{3}} \cdot 3^{2} x^{\frac{1}{3}}

Apply exponent rule:

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

x^{\frac{2}{3}} x^{\frac{1}{3}} = x^{\frac{2}{3} + \frac{1}{3}}

= 3^{2} x^{\frac{2}{3} + \frac{1}{3}}

Combine the fractions

\frac{2}{3} + \frac{1}{3} : 1

= 3^{2} x^{1}

Apply rule

a^{1} = a

x^{1} = x

= 3^{2} x

3^{2} = 9

= 9 x

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Frequently Asked Questions (FAQ)

What is (3x^{2/3})(3x^{1/3}) ?
The solution to (3x^{2/3})(3x^{1/3}) is 9x