%5E3-simplified.jpeg "(7^3)^3 Simplified")
Simplifying (7^3)^3
In this article, we will discuss how to simplify the expression (7^3)^3. This expression involves exponentiation, which can be a bit tricky to simplify. But don't worry, we'll break it down step by step.
What does the expression mean?
The expression (7^3)^3 means "7 to the power of 3, raised to the power of 3". In other words, we need to cube 7 three times.
Step 1: Evaluate the inner expression
First, let's evaluate the inner expression 7^3. This means raising 7 to the power of 3:
7^3 = 7 × 7 × 7 = 343
So, the inner expression evaluates to 343.
Step 2: Raise the result to the power of 3
Now, we need to raise 343 to the power of 3:
(343)^3 = 343 × 343 × 343
To calculate this, we can use the fact that 343 = 7^3. So, we can rewrite the expression as:
(7^3)^3 = 7^(3 × 3) = 7^9
Simplified form
Therefore, the simplified form of (7^3)^3 is:
7^9
which equals:
7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 = 40353607
There you have it! The simplified form of (7^3)^3 is 7^9, which equals 40353607.
