Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Question 1

Simplify [tex]\frac{y^{-3}}{4 y^6}[/tex].

A. [tex]\frac{1}{4 y^9}[/tex]

B. [tex]\frac{1}{4 y^2}[/tex]

C. [tex]\frac{1}{4 y^3}[/tex]

D. [tex]\frac{y^9}{4}[/tex]

Sagot :

GinnyAnswer
Sure, let's simplify the given expression step-by-step:

The expression given is:

[tex]\[ \frac{y^{-3}}{4 y^6} \][/tex]

Step 1: Combine the exponents of [tex]\( y \)[/tex] in the numerator and denominator. Recall that when dividing powers with the same base, you subtract the exponent in the denominator from the exponent in the numerator:

[tex]\[ \frac{y^{-3}}{4 y^6} = \frac{y^{-3}}{4 \cdot y^6} = \frac{1}{4} \cdot y^{-3 - 6} \][/tex]

Step 2: Now, simplify the exponent:

[tex]\[ -3 - 6 = -9 \][/tex]

So, we have:

[tex]\[ \frac{1}{4} \cdot y^{-9} = \frac{1}{4 y^9} \][/tex]

Therefore, the simplified form of the expression is:

[tex]\[ \frac{1}{4 y^9} \][/tex]

So, the correct answer is:

[tex]\[ \frac{1}{4 y^9} \][/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.