Date
itive exponents.
2) $\frac{3}{3^3}$
Answer (1)
Evaluate the denominator: 3 3 = 27 .
Rewrite the expression: 27 3 .
Simplify the fraction by dividing both numerator and denominator by 3.
The simplified expression is 9 1 .
Explanation
Understanding the Problem We are given the expression 3 3 3 and asked to simplify it. This involves understanding exponents and fractions.
Evaluating the Denominator First, let's evaluate the denominator, 3 3 . This means 3 × 3 × 3 , which equals 27. So, we can rewrite the expression as 27 3 .
Simplifying the Fraction Now, we simplify the fraction 27 3 . Both the numerator and the denominator are divisible by 3. Dividing both by 3, we get 27 ÷ 3 3 ÷ 3 = 9 1 .
Final Answer Therefore, the simplified form of 3 3 3 is 9 1 .
Examples
Imagine you have a cake cut into 27 slices, and you only take 3 of those slices. That means you have 27 3 of the cake. Simplifying this fraction, you realize you have 9 1 of the entire cake. Understanding how to simplify fractions helps you visualize proportions and quantities in everyday situations, like sharing food or dividing resources.
