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Popular Calculus >

4x^{5/4}+2x^{3/2}+4x

Solution

4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 4 x

Solution

4 x x^{\frac{1}{4}} + 2 x x^{\frac{1}{2}} + 4 x

Solution steps

4 x^{\frac{5}{4}} + 2 x^{\frac{3}{2}} + 4 x

Apply exponent rule:

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

x^{\frac{5}{4}} = x^{1 + \frac{1}{4}} = x x^{\frac{1}{4}}

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

Apply exponent rule:

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

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

= 4 x x^{\frac{1}{4}} + 2 x x^{\frac{1}{2}} + 4 x

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Frequently Asked Questions (FAQ)

What is 4x^{5/4}+2x^{3/2}+4x ?
The solution to 4x^{5/4}+2x^{3/2}+4x is 4xx^{1/4}+2xx^{1/2}+4x