Solve 4x^1/2/8x^1/3 | Microsoft Math Solver

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Evaluate

\frac{6 x}{2}

Steps for Quotient of Exponentials

\frac{4 x ^{1 / 2}}{8 x ^{1 / 3}}

Use the rules of exponents to simplify the expression.

\frac{4 ^{1} x}{8 ^{1} 3 x}

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

\frac{4 ^{1} x ^{(\frac{1}{2} - \frac{1}{3})}}{8 ^{1}}

Subtract

\frac{1}{3} \approx 0.333333333

from

\frac{1}{2} = 0.5

by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

\frac{4 ^{1} 6 x}{8 ^{1}}

Reduce the fraction

\frac{4}{8} = 0.5

to lowest terms by extracting and canceling out

4

.

\frac{1}{2} 6 x

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\frac{4 x ^{1 / 2}}{8 x ^{1 / 3}}

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Similar Problems from Web Search

What is the integration of

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

with respect to x?

https://www.quora.com/What-is-the-integration-of-x-1-2-1+x-1-3-with-respect-to-x

I = \int \frac{x ^{\frac{1}{2}}}{1 + x ^{\frac{1}{3}}} d x

x = t^{6}

and then simplify and proceed. You will reach up to find,

I = 6 \int \frac{t ^{8}}{1 + t ^{2}} d t

Then in the numerator ...

How do you express

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

in radical form?

https://socratic.org/questions/how-do-you-express-x-1-2-x-1-3-in-radical-form

\frac{2 x}{3 x} or 6 x

\frac{x ^{\frac{1}{2}}}{x ^{\frac{1}{3}}} = x^{(\frac{1}{2} - \frac{1}{3})} = x^{\frac{1}{6}} = 6 x

How do you integrate

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

https://socratic.org/questions/how-do-you-integrate-x-1-3-x-1-3-1

x + \frac{3}{2} x^{\frac{2}{3}} + 3 x^{\frac{1}{3}} + 3 ln ∣ ∣ ∣ ∣ x^{\frac{1}{3}} - 1 ∣ ∣ ∣ ∣ + C

I = \int \frac{x ^{\frac{1}{3}}}{x ^{\frac{1}{3}} - 1} d x

What is the primitive of

\frac{x ^{- 1 / 2}}{1 + x ^{1 / 3}}

https://math.stackexchange.com/questions/3064034/what-is-the-primitive-of-fracx-1-21x1-3

We have \begin{equation} \begin{split} \int \frac{x^{-1/2}}{1+x^{1/3}} \space dx\\ = \int \frac{x^{-1/2}}{1+{x^{1/6}}^2} \space dx \\ = 6 \int \frac{1}{6} \frac{x^{-5/6} x^{2/6}}{1+{x^{1/6}}^2} ...

20 x^{1} / 2 / 5 x^{1} / 4

https://www.tiger-algebra.com/drill/20x~1/2/5x~1/4/

20x1/2/5x1/4 Final result : x2 —— 2 Step by step solution : Step 1 : x Simplify — 4 Equation at the end of step 1 : (x1) x (20 • ———— ÷ 5) • — 2 4 Step 2 : x Simplify — 2 Equation at the end of ...

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

https://www.tiger-algebra.com/drill/(16x)~1/2(x~1/3)/

(16x)1/2(x1/3) Final result : 8x2 ——— 3 Step by step solution : Step 1 : x Simplify — 3 Equation at the end of step 1 : ((16x)1) x ———————— • — 2 3 Step 2 : 2.1 16 = 24 (16)1 = (24)1 = 24 ...

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\frac{4^{1}\sqrt{x}}{8^{1}\sqrt[3]{x}}

Use the rules of exponents to simplify the expression.

\frac{4^{1}x^{\left(\frac{1}{2}-\frac{1}{3}\right)}}{8^{1}}

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

\frac{4^{1}\sqrt[6]{x}}{8^{1}}

Subtract \frac{1}{3}\approx 0.333333333 from \frac{1}{2}=0.5 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.

\frac{1}{2}\sqrt[6]{x}

Reduce the fraction \frac{4}{8}=0.5 to lowest terms by extracting and canceling out 4.

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x^{2} - 4 x - 5 = 0

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{8 x + 2 y = 46 7 x + 3 y = 47

Differentiation

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

\int_{0}^{1} x e^{- x^{2}} d x

x \to - 3 lim \frac{x ^{2} - 9}{x ^{2} + 2 x - 3}

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