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(9q)(5q)(6q7)(9q)(5q)(6q^7)

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 and division rulesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline(9q)(5q)(6q7)(9q)(5q)(6q^7)
  1. Identify Components: Identify the components of the expression (9q)(5q)(6q7)(9q)(5q)(6q^7). We have three terms: 9q9q, 5q5q, and 6q76q^7. We will group the coefficients 99, 55, and 66 and the powers of qq together.
  2. Multiply Coefficients: Multiply the coefficients together.\newlineCalculate 9×5×69 \times 5 \times 6.\newline9×5=459 \times 5 = 45\newline45×6=27045 \times 6 = 270\newlineThe product of the coefficients is 270270.
  3. Combine Powers: Combine the powers of qq. We have qq (which is q1q^1), another qq (also q1q^1), and q7q^7. When multiplying powers with the same base, we add the exponents. q1×q1×q7=q(1+1+7)=q9q^1 \times q^1 \times q^7 = q^{(1+1+7)} = q^9 The combined power of qq is q9q^9.
  4. Write Simplified Expression: Write the simplified expression.\newlineCombine the product of the coefficients with the combined power of qq.\newline(9q)(5q)(6q7)=270×q9(9q)(5q)(6q^7) = 270 \times q^9\newlineThe simplified expression is 270q9270q^9.

More problems from Simplify exponential expressions using the multiplication and division rules

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 (58)