Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Simplify the expression: [tex]\(\frac{(a^8 \cdot a^6)^{\frac{1}{7}}}{a^2}\)[/tex].

[tex]\(\square\)[/tex]

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\frac{\left(a^8 a^6\right)^{\frac{1}{7}}}{a^2}\)[/tex], follow these steps:

1. Combine the exponents inside the parentheses:
[tex]\[ a^8 \cdot a^6 = a^{8+6} = a^{14} \][/tex]

2. Apply the outer exponent to the result:
[tex]\[ \left(a^{14}\right)^{\frac{1}{7}} = a^{14 \cdot \frac{1}{7}} = a^2 \][/tex]

3. Divide by the denominator exponent:
[tex]\[ \frac{a^2}{a^2} = a^{2-2} = a^0 \][/tex]

4. Simplify the final result:
[tex]\[ a^0 = 1 \][/tex]

Thus, the simplified expression is [tex]\(1\)[/tex].
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.