Simplifying (x/2)^3 (5x^7) Using Laws of Exponents

Math Problem Statement

(x/2)^3 (5x^7)

Let's simplify the expression $\left(\frac{x}{2}\right)^3 (5x^7)$ :

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Algebra
Exponents
Polynomial Multiplication

Power of a quotient: (a/b)^n = a^n / b^n
Product of powers with the same base: x^a * x^b = x^(a+b)

Laws of Exponents

Grades 9-11

Simplifying Exponential Expressions: (x^2 * x^5) / x^3

Exponentiation Problem: Solving Powers and Roots with Base 3

Simplify x = (3/2)^2 × (2/3)^4 and Find x^2

Simplifying the Expression with Exponents: (7^3 / 5^2)^4 × (5^3 / 7)

Exponent Equation Solution: (27)^(5/2) × (9)^(3/2) ÷ (3)^7 = (3)^x