Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Enter the correct answer in the box.

Write the expression [tex]\left(x^4\right)^8[/tex] in simplest form.

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\left(x^4\right)^8\)[/tex], we can apply the power rule of exponents, which states that [tex]\((x^a)^b = x^{a \cdot b}\)[/tex].

Here, the base [tex]\(x\)[/tex] is raised to the power of 4, and this entire expression is then raised to the power of 8. According to the power rule:

[tex]\[ (x^4)^8 = x^{4 \cdot 8} \][/tex]

Next, we multiply the exponents:

[tex]\[ 4 \cdot 8 = 32 \][/tex]

Thus, the simplest form of [tex]\(\left(x^4\right)^8\)[/tex] is:

[tex]\[ x^{32} \][/tex]

Therefore, the expression [tex]\(\left(x^4\right)^8\)[/tex] in simplest form is [tex]\(x^{32}\)[/tex].
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.