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

Question

$\left(-x^{2}\right)^{3}$

Name: Problem 63, Chapter 5: Elementary Algebra
Uploaded: 2024-01-17T14:45:33-08:00
Duration: 54 s
Channel: Taha T
Description: (-x^2)^3

   $\left(-x^{2}\right)^{3}$

Elementary Algebra

Laura Bracken, Ed… 1st Edition

Chapter 5, Problem 63

Instant Answer

Solved by Expert Taha T

01/17/2024

Step 1

This means that we have $-x$ multiplied by itself: $-x * -x = x^2$. So now we have $(x^2)^3$. Show more…

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$\left(-x^{2}\right)^{3}$

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Key Concepts

Negative Exponents

A negative exponent indicates the reciprocal of the base raised to the corresponding positive exponent. Essentially, x^(-n) is equivalent to 1/(x^n), which helps in rewriting and simplifying expressions with division or negative powers.

Product Rule for Exponents

This rule states that when multiplying two exponential expressions with the same base, you add the exponents together. It's a fundamental property used to simplify expressions involving powers, such as turning x^a * x^b into x^(a+b).

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