%5E2.jpeg "(-6p)^2")
Understanding (-6p)^2
In mathematics, squaring a term means multiplying it by itself. So, (-6p)^2 is the same as (-6p) * (-6p).
Here's how to break down the calculation:
1. Exponent Rule:
- The exponent applies to everything inside the parentheses.
- Therefore, we are squaring both -6 and p.
2. Multiplication of Negatives:
- A negative number multiplied by a negative number results in a positive number.
3. Multiplication of Variables:
- When multiplying variables with exponents, we add the exponents.
Putting it together:
- (-6p)^2 = (-6p) * (-6p)
- = (-6) * (-6) * p * p
- = 36p^2
Therefore, (-6p)^2 is equal to 36p^2.
Key Points:
- Pay close attention to the placement of parentheses and exponents.
- Remember the rules for multiplying negative numbers and variables.
Understanding these concepts is crucial for simplifying and solving algebraic expressions.