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.\newlinek2−4kk−4\frac{k^2 - 4k}{k - 4}

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

Full solution

Q. Simplify. Write your answer using whole numbers and variables.\newlinek2−4kk−4\frac{k^2 - 4k}{k - 4}
  1. Factorize numerator: Factor the numerator if possible.\newlineThe numerator is a quadratic expression, and we should check if it can be factored. The expression k2−4kk^2 - 4k can be factored by taking out the common factor kk.\newlinek2−4k=k(k−4)k^2 - 4k = k(k - 4)
  2. Cancel common factors: Simplify the expression by canceling out common factors.\newlineWe have the expression (k(k−4))/(k−4)(k(k - 4))/(k - 4). Since k−4k - 4 is a common factor in the numerator and the denominator, we can cancel it out, provided that kk is not equal to 44 (as division by zero is undefined).\newline(k(k−4))/(k−4)=k(k(k - 4))/(k - 4) = k, for k≠4k \neq 4
  3. Write final expression: Write the final simplified expression.\newlineThe simplified expression is kk, with the restriction that kk cannot be equal to 44.

More problems from Multiply and divide 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 (114)

Related topics

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