Problem 16
Question
Evaluate each exponential expression. $$ \left(3^{3}\right)^{2} $$
Step-by-Step Solution
Verified Answer
The value of the given exponential expression is 729.
1Step 1: Break Down the Exponential Expression
For any numbers \(x\) and \(y\), \((x^{y})^{z} = x^{y \cdot z}\). So, applying this rule, the expression \((3^{3})^{2}\) is equivalent to \(3^{3 \cdot 2}\), which simplifies to \(3^{6}\).
2Step 2: Calculate the Value of the Exponential Expression
Next, calculate the value of \(3^{6}\). This involves multiplying \(3\) by itself five more times. The outcome is 729.
Other exercises in this chapter
Problem 16
In Exercises 15–58, find each product. $$ (x+5)\left(x^{2}-5 x+25\right) $$
View solution Problem 16
Use the product rule to simplify the expressions in Exercises \(13-22 .\) In Exercises \(17-22,\) assume that variables represent nonnegative real numbers. $$ \
View solution Problem 16
Evaluate each algebraic expression for the given value or values of the variable(s). $$\frac{2 x+y}{x y-2 x}, \text { for } x=-2 \text { and } y=4$$
View solution Problem 17
multiply or divide as indicated. $$ \frac{x^{2}-9}{x^{2}} \cdot \frac{x^{2}-3 x}{x^{2}+x-12} $$
View solution