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. Write your answer using whole numbers and variables.\newline8m2−3m6m\frac{8m^2 - 3m}{6m}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newline8m2−3m6m\frac{8m^2 - 3m}{6m}
  1. Simplify Fraction: Simplify the fraction 3m6m\frac{3m}{6m}.\newlineTo simplify a fraction, divide the numerator and the denominator by their greatest common factor. In this case, both the numerator and the denominator have a common factor of 3m3m.\newline3m6m=(36)(mm)=12×1=12\frac{3m}{6m} = \left(\frac{3}{6}\right)\left(\frac{m}{m}\right) = \frac{1}{2} \times 1 = \frac{1}{2}
  2. Replace Fraction: Rewrite the original expression with the simplified fraction.\newlineReplace the fraction 3m6m\frac{3m}{6m} in the original expression with its simplified form 12\frac{1}{2}.\newline8m2−3m6m=8m2−128m^2 - \frac{3m}{6m} = 8m^2 - \frac{1}{2}
  3. Combine Like Terms: Since there are no like terms to combine, the expression is now fully simplified.\newlineThe term 8m28m^2 cannot be combined with the constant term −12-\frac{1}{2}, so the expression is already in its simplest form.\newlineFinal expression: 8m2−128m^2 - \frac{1}{2}

More problems from Multiply powers: variable bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 8 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 7 months ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 6 months ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 7 months ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 8 months ago

View all (62)

Related topics

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