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Popular >

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

Solution

simplify

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

Solution

12 x^{\frac{13}{5}}

Solution steps

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

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

x^{\frac{3}{5} + 2} = x^{\frac{13}{5}}

= 2^{2} \cdot 3 x^{\frac{13}{5}}

Refine

= 12 x^{\frac{13}{5}}

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Frequently Asked Questions (FAQ)

What is 2(2x^{3/5})(3x^2) ?
The solution to 2(2x^{3/5})(3x^2) is 12x^{13/5}