Question

Simplify each expression. $$ \frac{x^{12} y^{13}}{x^{5} y^{7}} $$

   Simplify each expression. 
$$
\frac{x^{12} y^{13}}{x^{5} y^{7}}
$$

Algebra A Combined Function

Algebra A Combined Function

Elayn Martin-Gay 4th Edition

Chapter 5, Problem 100

Instant Answer

Solved by Expert Erika Bustos

02/05/2022

Step 1

This rule applies when we are dividing like bases. We subtract the exponent of the denominator from the exponent of the numerator. Show more…

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Simplify each expression. $$ \frac{x^{12} y^{13}}{x^{5} y^{7}} $$

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Key Concepts

Exponent Rules for Division

This concept states that when dividing two exponential expressions with the same base, you subtract the exponent in the denominator from the exponent in the numerator. Applying this rule simplifies expressions by reducing the power of the variable and eliminating common factors.

Algebraic Simplification

This involves reducing expressions to their simplest form by applying algebraic rules such as the laws of exponents. Simplification helps in revealing the underlying structure of an expression and makes subsequent manipulation or evaluation easier.

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