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Simplify. Assume all variables are positive. $\newline$ $s^{\frac{5}{7}} \cdot s^{\frac{1}{7}}$ $\newline$ Write your answer in the form $A$ or $\frac{A}{B}$ , where $A$ and $B$ are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. $\newline$ ______

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Simplify expressions involving rational exponents

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Q. Simplify. Assume all variables are positive.

\newline

s^{\frac{5}{7}} \cdot s^{\frac{1}{7}}

\newline

Write your answer in the form

A

or

\frac{A}{B}

, where

A

and

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

______

Identify Equation and Apply Property: Identify the equation and apply the property of exponents for multiplication. $\newline$ When multiplying two exponents with the same base, we add the exponents: $a^m \times a^n = a^{m+n}$ . $\newline$ $s^{\frac{5}{7}} \times s^{\frac{1}{7}} = s^{\frac{5}{7} + \frac{1}{7}}$ .
Add Exponents: Add the exponents. $\newline$ $\frac{5}{7} + \frac{1}{7} = \frac{6}{7}$ . $\newline$ So, $s^{\frac{5}{7}} \times s^{\frac{1}{7}} = s^{\frac{6}{7}}$ .
Write Final Expression: Write the final simplified expression. $\newline$ The expression $s^{\frac{6}{7}}$ is already in the simplest form, with a positive exponent.

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