Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Which law would you use to simplify the expression [tex]\left(x^4\right)^9[/tex]?

A. Product of powers
B. Power of a product
C. Power of a quotient
D. Power of a power

Sagot :

GinnyAnswer
To simplify the expression \(\left(x^4\right)^9\), you should use the "power of a power" law.

Here's a detailed explanation:

1. Identify the law: The "power of a power" law states that \((a^m)^n = a^{m \cdot n}\). Essentially, when you raise an exponentiated term to another exponent, you multiply the exponents together.

2. Apply the law: In the expression \(\left(x^4\right)^9\), \(a = x\), \(m = 4\), and \(n = 9\).

3. Simplify the expression: Using the "power of a power" law, you can simplify \(\left(x^4\right)^9\) as follows:
[tex]\[ \left(x^4\right)^9 = x^{4 \cdot 9} = x^{36} \][/tex]

The law used here is the "power of a power" law.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.