4.jpeg "(a2b3)4")
(a2b3)4: Understanding the Mathematical Expression
What does (a2b3)4 mean?
In mathematics, (a2b3)4 is an algebraic expression that represents a mathematical operation. To understand what this expression means, let's break it down into smaller parts.
What is a2b3?
a2b3 is a mathematical expression that can be interpreted in different ways, depending on the context. Here are a few possible meanings:
a2b3could be a product of three variablesa,2, andbraised to the power of 3. In this case,a2b3would be equal toa × 2 × b³.- Alternatively,
a2b3could be a single variable or a constant value.
What does the exponent 4 mean?
The exponent 4 in (a2b3)4 indicates that the expression a2b3 should be raised to the power of 4. In other words, (a2b3)4 is equivalent to (a2b3) × (a2b3) × (a2b3) × (a2b3).
Evaluating the Expression
To evaluate (a2b3)4, we need to know the values of a and b. Without specific values, we cannot simplify the expression further. However, if we know the values of a and b, we can plug them into the expression and calculate the result.
For example, if a = 2 and b = 3, then a2b3 would be equal to 2² × 3³ = 4 × 27 = 108. Raising 108 to the power of 4 would give us (108)⁴ = 146,482,449.
Conclusion
In conclusion, (a2b3)4 is a mathematical expression that represents the product of a2b3 raised to the power of 4. To evaluate the expression, we need to know the values of a and b. Once we have those values, we can calculate the result by plugging them into the expression and simplifying it.
