Simplify. $$ \frac{y^{-1} + 7x^{-1}}{2y^{-1} - x^{-2}} $$ Write your answer using only positive ex
Added by Douglas S.
Close
Step 1
The expression is: $$ \frac{y^{-1} + 7x^{-1}}{2y^{-1} - x^{-2}} $$ First, we will rewrite each term with positive exponents using the rule $a^{-n} = \frac{1}{a^n}$. For the numerator: $y^{-1} = \frac{1}{y}$ $7x^{-1} = \frac{7}{x}$ So the numerator becomes: $$ Show more…
Show all steps
Your feedback will help us improve your experience
Yujie Wang and 67 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Simplify each expression, using only positive exponents in the answer. $$ \frac{x^{-1}+2 y^{-1}}{2 y+4 x} $$
Rational Expressions and Applications
Complex Fractions
Simplify each expression, using only positive exponents in the answer. $\frac{x^{-1}+2 y^{-1}}{2 y+4 x}$
Rational Expressions and Functions
Simplify each expression, using only positive exponents in the answer. $$ \frac{x^{-1}-y^{-1}}{x^{-2}-y^{-2}} $$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD