Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

rac{dy}{dx}=y^{−1-1}x^{−3-3}, ext{ solve for } y

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify exponential expressions using exponent rulesright chevron icon

Full solution

Q. rac{dy}{dx}=y^{−1-1}x^{−3-3}, ext{ solve for } y
  1. Identify operation: Step 11: Identify the operation needed for the exponents 99, 88, and −5-5.\newlineWhen multiplying powers with the same base, add the exponents.\newlineCalculation: r9×r8×r−5=r9+8−5r^9 \times r^8 \times r^{-5} = r^{9 + 8 - 5}
  2. Perform addition: Step 22: Perform the addition of the exponents.\newlineCalculation: 9+8−5=129 + 8 - 5 = 12
  3. Rewrite expression: Step 33: Rewrite the expression using the result from Step 22.\newliner9⋅r8⋅r−5=r12r^9 \cdot r^8 \cdot r^{-5} = r^{12}

More problems from Simplify exponential expressions using exponent rules

Question
Evaluate.\newline22=2^2 = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Evaluate. Write your answer as a fraction or whole number.\newline(14)4(\frac{1}{4})^4 = _____
Get tutor helpright-arrow

Posted 2 months ago

Question
Which is equal to 9−619^{-61}?\newlineChoices:\newline1(−9)−61\frac{1}{(-9)^{-61}}\newline(−9)−61(-9)^{-61}\newline(−9)61(-9)^{61}\newline1(961)\frac{1}{(9^{61})}
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. \newlineExpress your answer using positive exponents.\newline r5⋅r8r^5 \cdot r^8
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using a single exponent.\newline(h2)6(h^2)^6\newline______
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using positive exponents.\newline(2v3)(4v)(5v)(2v^3)(4v)(5v)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using a single exponent.\newline(5z8)2(5z^8)^2\newline_____________
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify. Express your answer using positive exponents.\newliner9⋅r8⋅r-5 r^9 \cdot r^8 \cdot r^{\text{-}5} \newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Which expression is equivalent to 6×686 \times 6^8?\newlineChoices:\newline169\frac{1}{6^9}\newline686^8\newline168\frac{1}{6^8}\newline696^9
Get tutor helpright-arrow

Posted 1 month ago

View all (208)