step 1 Okay, so here, with the negative exponents, the 4x to the negative 3 that moves upstairs. So we

((3 x^4)^2)/(180 x)

Name: Problem 78, Chapter 5: Elementary Algebra
Uploaded: 2022-02-07T03:19:16-08:00
Duration: 1 min 3 s
Channel: Nick Johnson
Description: ((3 x^4)^2)/(180 x)

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Key Concepts

Properties of Exponents

This concept covers the rules for working with exponents, including the power of a product rule (which states that a product raised to an exponent is equivalent to each factor raised to that exponent) and the power of a power rule (which involves multiplying the exponents). These rules are essential when simplifying expressions that involve exponentiation of variables and constants.

Simplifying Rational Expressions

Simplifying rational expressions involves reducing fractions by canceling common factors in the numerator and denominator. This process often includes factoring both parts of the expression and then applying the laws of exponents to eliminate redundant terms, leading to a simpler form.

Multiplication and Division of Monomials

This key concept involves operations with individual terms that include both coefficients and variables. When multiplying monomials, you multiply the numeric coefficients and add the exponents of like bases. In division, you subtract the exponents of the same variable from the numerator and denominator, which simplifies the expression further.

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