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.\newline6y(2y)(y5)\frac{6y}{(2y)(y^5)}

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.\newline6y(2y)(y5)\frac{6y}{(2y)(y^5)}
  1. Write Expression, Identify Like Terms: Write down the given expression and identify like terms. The given expression is 6y2y(y5)\frac{6y}{2y(y^5)}. We can see that there are like terms in the numerator and the denominator that can be simplified.
  2. Simplify Coefficients, Cancel Terms: Simplify the coefficients and cancel out common terms.\newlineWe can simplify the coefficients by dividing 66 by 22, which gives us 33. We can also cancel out the common yy term in the numerator and one yy term in the denominator.\newline6y2y(y5)=3y5\frac{6y}{2y(y^5)} = \frac{3}{y^5}
  3. Use Exponent Laws, Simplify: Simplify the expression using the laws of exponents.\newlineSince we have yy in the denominator with an exponent of 55, we can write the expression as:\newline3(y5)=3y−5\frac{3}{(y^5)} = 3y^{-5}\newlineWe express the answer using positive exponents.

More problems from Simplify exponential expressions using the multiplication and division 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 (56)