step 1 typically when we have two brackets that we need to expand out use so we call the foil method fo

(-x^4)^2(-x^2)^3 | Numerade

Name: Problem 65, Chapter 5: Elementary Algebra
Uploaded: 2024-01-17T14:45:33-08:00
Duration: 54 s
Channel: Taha T
Description: (-x^4)^2(-x^2)^3

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Key Concepts

Combining Exponents

Combining exponents involves the use of the product rule for exponents, which allows for the addition of exponents when multiplying expressions with the same base. This principle is key in simplifying products of exponential terms.

Even and Odd Exponents

Understanding the effect of even and odd exponents on the sign of an expression is crucial. When a negative number is raised to an even exponent, the result is positive, while raising it to an odd exponent preserves the negative sign.

Exponentiation

Exponentiation is the mathematical operation where a base is multiplied by itself a certain number of times, as indicated by an exponent. It is a core concept in algebra that enables concise representation of repeated multiplication.

Power of a Product Rule

The power of a product rule states that when a product of factors is raised to a power, each factor within the product is raised to that power separately. This rule is essential for simplifying expressions where an exponent is applied to a product of terms.

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