217k views
2 votes
Simplify the expression. Express the result as a power of 3. 3^-2 * 3^7

User Jcs
by
8.5k points

1 Answer

2 votes

Final answer:

To simplify the expression 3^-2 * 3^7 as a single power of 3, add the exponents together. The simplified expression is 3^5, which equals 243.

Step-by-step explanation:

To simplify the expression 3-2 * 37 as a single power of 3, we can add the exponents together since the base (3) is the same. Therefore, 3-2 * 37 can be written as 3(-2+7) = 35.

The final simplified expression is 35, which is equivalent to 243.