IDNLearn.com is your go-to platform for finding reliable answers quickly. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.
Sagot :
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]
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]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.