%5E2-without-exponents.jpeg "(4b)^2 Without Exponents")
Understanding (4b)^2 without Exponents
The expression (4b)^2 represents the square of the quantity "4b". To understand this without exponents, let's break it down:
What Does Squaring Mean?
Squaring a number means multiplying it by itself. For example, 5 squared (5²) is the same as 5 x 5.
Applying the Concept to (4b)^2
In the expression (4b)², we are squaring the entire quantity "4b". This means:
(4b)² = (4b) x (4b)
Expanding the Expression
Now we can expand the expression by multiplying each term individually:
(4b) x (4b) = 4 x b x 4 x b
Simplifying the Expression
Finally, we can rearrange and simplify the terms:
4 x b x 4 x b = 16b²
Conclusion
Therefore, (4b)² without exponents is equivalent to 16b². This represents the product of 16 and b squared, highlighting that squaring a quantity applies to every term within that quantity.