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:

Simplify. Express your answer using positive exponents.\newline6u32u9\frac{6u^3}{2u^9}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Simplify exponential expressions using the multiplication ruleright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline6u32u9\frac{6u^3}{2u^9}
  1. Write Expression: Write down the given expression.\newlineWe have the expression 6u32u9\frac{6u^3}{2u^9}.
  2. Simplify Coefficients: Simplify the coefficients (numbers in front of the variables).\newlineDivide 66 by 22 to simplify the coefficients.\newline6/2=36 / 2 = 3
  3. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlineu3/u9=u(3−9)=u−6u^3 / u^9 = u^{(3-9)} = u^{-6}
  4. Express with Positive Exponent: Express the answer with a positive exponent.\newlineSince we want to express the answer with positive exponents, we rewrite u−6u^{-6} as 1/u61/u^6.
  5. Combine Results: Combine the results from Step 22 and Step 44.\newlineThe simplified expression is 3×1u63 \times \frac{1}{u^6}, which can be written as 3u6\frac{3}{u^6}.

More problems from Simplify exponential expressions using the multiplication rule

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

Posted 8 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 5 months ago

Question
Which is equal to 9−619^{-61}?
Get tutor helpright-arrow

Posted 5 months ago

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

Posted 5 months ago

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

Posted 5 months ago

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

Posted 5 months ago

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

Posted 9 months ago

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

Posted 5 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 5 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 7 months ago

View all (88)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant