We have the expression:
![3^3\cdot3^5\cdot((1)/(3))^2=(3\cdot3\cdot(1)/(3))^(3+5+2)=3^(10)](https://img.qammunity.org/2023/formulas/mathematics/college/oega2kbo9farsy21appq0rrwbksg9bq3yg.png)
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:
![((1)/(3))^2=(1)/(3)\cdot(1)/(3)=(1)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/vpxfx7ap1enzeoln3i20r50hsy7r7y1oge.png)
Or:
![((1)/(3))^5=(1)/(3)\cdot(1)/(3)\cdot(1)/(3)\cdot(1)/(3)\cdot(1)/(3)=(1)/(243)](https://img.qammunity.org/2023/formulas/mathematics/college/jme8lplfqfh0lrcizxcpmoo4ny78xhfv86.png)