step 1 We're given the following expression, and we need to simplify. So we're going to factor first so

(32 h^9)/(8 h^4) | Numerade

Name: Problem 17, Chapter 5: Elementary Algebra
Uploaded: 2021-03-18T21:57:19-08:00
Duration: 57 s
Channel: Erika Bustos
Description: (32 h^9)/(8 h^4)

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Key Concepts

Simplification of Algebraic Expressions

This concept covers the process of reducing an algebraic expression to its most concise form by applying arithmetic operations, combining like terms, and using algebraic rules such as the quotient rule for exponents. This process makes expressions easier to work with and further manipulate in algebraic operations.

Quotient Rule for Exponents

This is a fundamental property in algebra for simplifying expressions where the same base appears in both the numerator and denominator. The rule states that when dividing exponential expressions with the same base, you subtract the exponent in the denominator from the exponent in the numerator, thus consolidating the expression into a single exponential term.

Division of Coefficients

This concept involves simplifying numerical factors in both the numerator and denominator by dividing them. When simplifying an expression, you separate the numeric parts from the variable parts and simplify them independently, which helps in reducing the expression to its simplest form.

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