Math Problem Statement

Simplify the expression: (x^6 * x^10) / (x^12 * x^3)

Solution

The expression you have uploaded is:

x6x10x12x3\frac{x^6 \cdot x^{10}}{x^{12} \cdot x^3}

We can simplify this by applying the rules of exponents. Specifically, we use the rule:

xaxb=xa+bx^a \cdot x^b = x^{a+b} and xaxb=xab\frac{x^a}{x^b} = x^{a-b}

Step-by-step simplification:

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Math Problem Analysis

Mathematical Concepts

Exponent Rules
Simplification

Formulas

x^a * x^b = x^(a + b)
x^a / x^b = x^(a - b)

Theorems

Laws of Exponents

Suitable Grade Level

Grades 8-10