((a b^-3)/(a^2 b))^-2

Name: Problem 46, Chapter 5: Algebra for College Students
Uploaded: 2020-04-20T05:23:33-08:00
Duration: 1 min 4 s
Channel: Coach Rye
Description: ((a b^-3)/(a^2 b))^-2

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Key Concepts

Exponent Laws

Exponent laws are a set of rules that govern the operations involving powers, such as multiplying, dividing, and raising powers to additional powers. They provide a systematic way to simplify expressions by manipulating exponents in algebraic expressions.

Negative Exponent Rule

The negative exponent rule states that any non-zero base raised to a negative exponent is equal to the reciprocal of that base raised to the corresponding positive exponent. This transformation is essential when simplifying expressions where inverses are involved.

Quotient Rule for Exponents

The quotient rule for exponents is used when dividing two exponential expressions with the same base. It states that you subtract the exponent in the denominator from the exponent in the numerator, which helps in streamlining the simplification of expressions involving division.

Power of a Quotient Rule

The power of a quotient rule explains that when a fraction is raised to an exponent, both the numerator and the denominator must be raised to that exponent. This rule is vital for correctly simplifying expressions where the entire fraction is raised to a power.

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