step 1 Hello, so here we have negative 3 to the negative 2. So a negative exponent means one over that

(y^-3)^2 | Numerade

Name: Problem 51, Chapter 5: Elementary Algebra
Uploaded: 2022-02-06T22:28:14-08:00
Duration: 19 s
Channel: Nick Johnson
Description: (y^-3)^2

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Key Concepts

Exponentiation

Exponentiation is a mathematical operation involving two numbers, the base and the exponent. It represents repeated multiplication, where the base is multiplied by itself a number of times equal to the exponent. This concept is fundamental in algebra and is used to express very large or very small numbers efficiently.

Negative Exponents

Negative exponents indicate the reciprocal of the base raised to the corresponding positive exponent. In other words, a negative exponent inverts the base, so, for example, a term with a negative exponent is equivalent to one divided by the term with a positive exponent. This concept is essential for simplifying and understanding expressions involving powers of variables.

Power of a Power Rule

The power of a power rule states that when an exponential expression is raised to another exponent, the exponents are multiplied together. This rule simplifies expressions by reducing nested exponents to a single exponent, making it easier to perform further algebraic manipulations and simplifications.

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