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If x is not equal to zero, which expression is equivalent to this expression?
(Picture of problem shown)
The answer is NOT D.

If x is not equal to zero which expression is equivalent to this expression Picture of problem shown The answer is NOT D class=

Respuesta :

Answer:

the answer is C

Step-by-step explanation:

You can solve this by changing everything to fractional powers. 4th root of x^3 can be written as x^3/4. Since you are dividing you will subtract their powers, so 3/4 - 1/12 will give you the power raised by x. You can rewrite to 9/12 - 1/12 to get 8/12 which will end up as x^2/3

I tried to answer the last time you asked but you closed the question haha, I hope you understand!

MrRoyal

Equivalent expressions are expressions with the same value.

The equivalent expression is: (c) [tex]\mathbf{ x^{\frac{2}{3}}}[/tex]

The expression is given as:

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}}}[/tex]

Rewrite the expression as:

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}} = \frac{x^{\frac{3}{4}}}{x^{\frac{1}{12}}}}[/tex]

Apply law of indices

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}} = x^{\frac{3}{4} - \frac{1}{12}}}[/tex]

Take LCM

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}} = x^{\frac{9-1}{12}}}[/tex]

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}} = x^{\frac{8}{12}}}[/tex]

Simplify

[tex]\mathbf{\frac{\sqrt[4]{x^3}}{x^{\frac{1}{12}}} = x^{\frac{2}{3}}}[/tex]

Hence, the equivalent expression is: [tex]\mathbf{ x^{\frac{2}{3}}}[/tex]

Read more about equivalent expression at:

https://brainly.com/question/23474758

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