(-5x)3(3x6) =

less than a minute read Jun 16, 2024

Simplifying Algebraic Expressions: (-5x)³(3x⁶)

This expression involves several concepts in algebra:

Exponents: The exponent indicates how many times a base is multiplied by itself. For example, x³ = x * x * x.
Multiplication of Powers: When multiplying exponents with the same base, you add the powers together. For example, x² * x³ = x⁵.
Order of Operations (PEMDAS/BODMAS): This helps determine the order in which operations are performed. Parentheses/Brackets, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Let's break down the simplification step by step:

1. Apply the exponent to the first term:

(-5x)³ = (-5x) * (-5x) * (-5x) = -125x³

2. Simplify the second term:

3x⁶ = 3x⁶ (already simplified)

3. Multiply the simplified terms:

-125x³ * 3x⁶ = -375x⁹

Therefore, (-5x)³(3x⁶) simplifies to -375x⁹.