step 1 All right, guys, for 34 wants me to go ahead and simplify the expression of negative two thirds,

(b^-4)^2 | Numerade

Name: Problem 52, Chapter 5: Elementary Algebra
Uploaded: 2020-04-19T20:21:13-08:00
Duration: 46 s
Channel: Coach Rye
Description: (b^-4)^2

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Key Concepts

Exponentiation

Exponentiation is the process of raising a number or expression (the base) to a certain power, which indicates how many times the base is multiplied by itself. This operation forms the foundation for understanding more complex algebraic concepts and simplifies computations involving repeated multiplication.

Power of a Power Rule

The power of a power rule is a fundamental property of exponents stating that when an exponential expression is raised to an additional power, the exponents are multiplied together. This rule is represented as (a^m)^n = a^(m*n), and it is critical when simplifying expressions that involve multiple layers of powers.

Negative Exponent Rule

The negative exponent rule indicates that an expression with a negative exponent represents the reciprocal of the expression with a positive exponent. Specifically, a^-n = 1/(a^n) for any nonzero a, and this concept is important for rewriting and simplifying expressions that involve inverses within exponential notation.

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