Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Assume all variables are positive.\newlinev23v43v^{\frac{2}{3}} \cdot v^{\frac{4}{3}}\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______

Full solution

Q. Simplify. Assume all variables are positive.\newlinev23v43v^{\frac{2}{3}} \cdot v^{\frac{4}{3}}\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______
  1. Identify Equation Property: Identify the equation and apply the property of exponents for multiplication: am×an=am+na^m \times a^n = a^{m+n}. v23×v43=v23+43v^{\frac{2}{3}} \times v^{\frac{4}{3}} = v^{\frac{2}{3} + \frac{4}{3}}
  2. Add Exponents: Add the exponents (23)(\frac{2}{3}) and (43)(\frac{4}{3}).23+43=63\frac{2}{3} + \frac{4}{3} = \frac{6}{3}
  3. Simplify Fraction: Simplify the fraction 63\frac{6}{3}. 63=2\frac{6}{3} = 2
  4. Write Final Answer: Write the final answer using the simplified exponent.\newlinev63=v2v^{\frac{6}{3}} = v^2

More problems from Simplify expressions involving rational exponents