Simplify the expression. a. y^-3 / 2 y^5 / 3 b. x^-3 / 5 x^8 / 3

Name: Problem 12, Chapter 5: Applied Calculus for the MLSS A Brief Approach
Uploaded: 2021-05-12T19:43:43-08:00
Duration: 1 min 31 s
Channel: Priyanka Sadarangani
Description: Simplify the expression. a. y^-3 / 2 y^5 / 3 b. x^-3 / 5 x^8 / 3

step 1 In this question we have to simplify the expression and the part A is given Y raised to the powe

Simplify the expression. a. y^-3 / 2 y^5 / 3 b. x^-3 / 5 x^8...

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Key Concepts

Exponent Laws

The exponent laws are a set of rules that govern the manipulation of expressions involving powers. One of the fundamental exponent laws states that when multiplying two powers with the same base, you add their exponents. This principle is key for simplifying expressions like combining multiple exponential factors into a single one.

Negative Exponents

Negative exponents indicate the reciprocal of the base raised to the corresponding positive exponent. Understanding negative exponents is crucial for simplifying expressions and rewriting them in a more conventional form, which is especially useful when the expression needs to be expressed without negative exponents.

Fractional Exponents

Fractional exponents combine the concepts of exponents and radicals, where the numerator represents the power and the denominator represents the root. Mastery of fractional exponents is important for simplifying expressions that involve radicals and powers, and it enables easier manipulation of expressions that might involve both integers and fractions in their exponents.

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