Chapter 9, Problem 33SGR

To determine

To calculate: To find the product or quotient and express using exponents

Answer to Problem 33SGR

Product is $m^9$

Explanation of Solution

Given information: Expression is $m^3·m^6$

Formula Used:

Exponential identities are

  $x^a{x}^b=x^{a+b}$

  $x^a{y}^a={\left(xy\right)}^a$

  ${\left(x^a\right)}^b={\left(x\right)}^{ab}$

  $\frac{x^a}{x^b}={\left(x\right)}^{a-b}$

Calculation:

Expression is given as

  $m^3·m^6$

On solving the above expression using the exponential identity $x^a{x}^b=x^{a+b}$

  $\begin{array}{l}{m}^3·m^6=m^{3+6}\\ m^3·m^6=m^9\end{array}$

Conclusion:

Hence, product is $m^9$