Problem 14
Question
Evaluate each exponential expression. $$ 3^{3} \cdot 3^{2} $$
Step-by-Step Solution
Verified Answer
The result of the expression \(3^{3} \cdot 3^{2}\) is 243.
1Step 1: Combining the Exponent
Given the expression \(3^{3} \cdot 3^{2}\), according to the laws of exponents, the expression can be mathematically simplified to \(3^{3+2}\).
2Step 2: Simplify the Exponent
Adding the exponents gives a new base and exponent, \(3^5\).
3Step 3: Evaluate the Expression
Evaluate \(3^5\) by multiplying 3 by itself 5 times. The result is 243.
Other exercises in this chapter
Problem 14
Factor by grouping. $$x^{3}+6 x^{2}-2 x-12$$
View solution Problem 14
In Exercises 9–14, perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $$ \left(8 x^{2}+7 x-5\right)-\lef
View solution Problem 14
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{7(x-3)}{2 x-16}, \text { for } x=9$$
View solution Problem 15
multiply or divide as indicated. $$ \frac{x-2}{3 x+9} \cdot \frac{2 x+6}{2 x-4} $$
View solution