%5E3-without-exponents.jpeg "(2b)^3 Without Exponents")
Understanding (2b)^3 Without Exponents
The expression (2b)^3 might seem intimidating at first glance, but it's actually quite simple to understand once you break it down. Let's explore it step by step:
The Power of Three
The exponent "3" in (2b)^3 indicates that we are multiplying the entire expression (2b) by itself three times.
In other words:
(2b)^3 = (2b) * (2b) * (2b)
Expanding the Expression
Now, let's expand this multiplication by applying the distributive property:
- (2b) * (2b) * (2b) = (2 * 2 * 2) * (b * b * b)
Simplifying the Result
Finally, we can simplify the expression:
- (2 * 2 * 2) * (b * b * b) = 8 * b^3
Therefore, (2b)^3 without exponents is 8 * b^3.
Key Points
- Exponents represent repeated multiplication.
- The distributive property allows us to expand expressions.
- Simplifying by performing the multiplication leads to the final answer.