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Popular >

simplify (6x^5)(6x^{2/3})

Solution

simplify

(6 x^{5}) (6 x^{\frac{2}{3}})

Solution

36 x^{\frac{17}{3}}

Solution steps

(6 x^{5}) (6 x^{\frac{2}{3}})

Apply exponent rule:

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

6 \cdot 6 = 6^{1 + 1}

= x^{5} \cdot 6^{1 + 1} x^{\frac{2}{3}}

Add the numbers:

1 + 1 = 2

= x^{5} \cdot 6^{2} x^{\frac{2}{3}}

Apply exponent rule:

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

x^{5} x^{\frac{2}{3}} = x^{5 + \frac{2}{3}}

= 6^{2} x^{5 + \frac{2}{3}}

x^{5 + \frac{2}{3}} = x^{\frac{17}{3}}

= 6^{2} x^{\frac{17}{3}}

6^{2} = 36

= 36 x^{\frac{17}{3}}

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Frequently Asked Questions (FAQ)

What is (6x^5)(6x^{2/3}) ?
The solution to (6x^5)(6x^{2/3}) is 36x^{17/3}