Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Assume all variables are positive.\newlinec52c52c^{\frac{5}{2}} \cdot c^{\frac{5}{2}}\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.\newlinec52c52c^{\frac{5}{2}} \cdot c^{\frac{5}{2}}\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: \newlinec52×c52=c52+52c^{\frac{5}{2}} \times c^{\frac{5}{2}} = c^{\frac{5}{2} + \frac{5}{2}}
  2. Add Exponents: Add the exponents. 52+52=102\frac{5}{2} + \frac{5}{2} = \frac{10}{2}
  3. Simplify Fraction: Simplify the fraction 10/210/2. \newline10/2=510/2 = 5
  4. Write Final Expression: Write the final expression using the simplified exponent. c52×c52=c5c^{\frac{5}{2}} \times c^{\frac{5}{2}} = c^5

More problems from Simplify expressions involving rational exponents