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.\newline(2s4)(5s9)(2s^4)(5s^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.\newline(2s4)(5s9)(2s^4)(5s^9)
  1. Group coefficients and powers: Group the coefficients and powers that have the same base.\newline(2s4)(5s9)(2s^4)(5s^9) can be written as (2×5)×(s4×s9)(2 \times 5) \times (s^4 \times s^9).
  2. Multiply coefficients: Multiply the coefficients.\newline2×5=102 \times 5 = 10.
  3. Apply product rule for exponents: Apply the product rule for exponents to combine s4s^4 and s9s^9. According to the product rule, when multiplying powers with the same base, you add the exponents. s4×s9=s4+9=s13s^4 \times s^9 = s^{4+9} = s^{13}.
  4. Combine results for simplest form: Combine the results from Step 22 and Step 33 to write the expression in its simplest form.\newline(2s4)(5s9)=10×s13=10s13(2s^4)(5s^9) = 10 \times s^{13} = 10s^{13}.

More problems from Simplify exponential expressions using the multiplication rule

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

Posted 3 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 3 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 2 months ago

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

Posted 3 months ago

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

Posted 2 months ago

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

Posted 3 months ago

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

Posted 3 months ago

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

Posted 3 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 3 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 2 months ago

View all (88)