Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Assume all variables are positive.\newlines54s34s^{\frac{5}{4}} \cdot s^{\frac{3}{4}}\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.\newlines54s34s^{\frac{5}{4}} \cdot s^{\frac{3}{4}}\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: Identify the equation and apply the property of exponents for multiplication.\newlineWhen multiplying two exponents with the same base, we add the exponents: am×an=am+na^m \times a^n = a^{m+n}.\newlines54×s34=s54+34s^{\frac{5}{4}} \times s^{\frac{3}{4}} = s^{\frac{5}{4} + \frac{3}{4}}
  2. Add Exponents: Add the exponents. 54+34=84\frac{5}{4} + \frac{3}{4} = \frac{8}{4}
  3. Simplify Fraction: Simplify the fraction 84\frac{8}{4}. 84=2\frac{8}{4} = 2
  4. Write Final Expression: Write the final expression using the simplified exponent. s54×s34=s2s^{\frac{5}{4}} \times s^{\frac{3}{4}} = s^2

More problems from Simplify expressions involving rational exponents