Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the left hand side to find the value of a in the equation in simplest form. (x^((4)/(3)))/(x^((2)/(3)))=x^(a) ◻

Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex43x23=xa\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}=x^{a}\newline□ \square

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Simplify radical expressions with variables IIright chevron icon

Full solution

Q. Evaluate the left hand side to find the value of a a in the equation in simplest form.\newlinex43x23=xa\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}}=x^{a}\newline□ \square
  1. Simplify using exponent properties: To solve for aa, we need to simplify the left-hand side of the equation using the properties of exponents. When dividing powers with the same base, we subtract the exponents. So, we will subtract the exponent of the denominator from the exponent of the numerator.\newlineCalculation: (43)−(23)=4−23=23.(\frac{4}{3}) - (\frac{2}{3}) = \frac{4 - 2}{3} = \frac{2}{3}.
  2. Equating left and right sides: Now that we have simplified the left-hand side, we can equate it to the right-hand side to find the value of aa. The simplified form of the left-hand side is x23x^{\frac{2}{3}}, so we have x23=xax^{\frac{2}{3}} = x^a. Therefore, aa must be equal to 23\frac{2}{3}.

More problems from Simplify radical expressions with variables II

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 8 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the radical expression. 14x14 \sqrt{14x^{14}} Write your answer in the form A A , B \sqrt{B} , or AB A\sqrt{B} , where A A and B B are constants or expressions in x x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A A . ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the radical expression.\newline12x12\sqrt{12x^{12}}\newlineWrite your answer in the form AA, B\sqrt{B}, or ABA\sqrt{B}, where AA and BB are constants or expressions in xx. Use at most one radical in your answer, and at most one absolute value symbol in your expression for AA.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the value of sin⁡(5π6)? \sin \left(\frac{5 \pi}{6}\right) ? \newlineChoose 11 answer:\newline(A) −32 -\frac{\sqrt{3}}{2} \newline(B) −22 -\frac{\sqrt{2}}{2} \newline(C) 12 \frac{1}{2} \newline(D) 150150
Get tutor helpright-arrow

Posted 10 months ago

View all (30)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant