Question

using exponet rules,simplify each exspression. leave no negitive exponets in your awnser

Answer 1

We have the expression:

$3^3\cdot3^5\cdot(\frac{1}{3})^2=(3\cdot3\cdot\frac{1}{3})^{3+5+2}=3^{10}$

You operate the bases and elevate at the sum of the exponent [As shown in the procedure] in this particular case.

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When you use a power, you multiply the number by itself the number of times it is stated by the exponent, for example:

$(\frac{1}{3})^2=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}$

Or:

$(\frac{1}{3})^5=\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{243}$