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:

As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 28 Second number: 26 28*◻=26

As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 2828 Second number: 2626\newline28⋅□=26 28 \cdot \square=26

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Write multiplication expressions using exponentsright chevron icon

Full solution

Q. As a fraction in simplest terms, what would you multiply the first number by to get the second?\newlineFirst number: 2828 Second number: 2626\newline28⋅□=26 28 \cdot \square=26
  1. Identify Numbers and Operation: Identify the numbers involved and the operation needed.\newlineWe need to find a fraction that when multiplied by the first number 2828 gives the second number 2626.
  2. Set Up Equation: Set up the equation to find the fraction.\newlineLet the fraction be represented by x/yx/y. We have:\newline28×(x/y)=2628 \times (x/y) = 26
  3. Solve for Fraction: Solve for the fraction xy\frac{x}{y}.\newlineTo isolate xy\frac{x}{y}, we divide both sides of the equation by 2828:\newlinexy=2628\frac{x}{y} = \frac{26}{28}
  4. Simplify Fraction: Simplify the fraction on the right-hand side. 2626 and 2828 have a common factor of 22. Dividing both the numerator and the denominator by 22 gives: (x/y)=13/14(x/y) = 13 / 14
  5. Check Result: Check the result.\newlineMultiplying 2828 by 1314\frac{13}{14} should give us 2626:\newline28×(1314)=(2814)×13=2×13=2628 \times \left(\frac{13}{14}\right) = \left(\frac{28}{14}\right) \times 13 = 2 \times 13 = 26\newlineThis confirms that our fraction is correct.

More problems from Write multiplication expressions using exponents

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

Posted 9 months ago

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

Posted 9 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 10 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 10 months ago

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

Posted 10 months ago

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

Posted 10 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 8 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 (24)

Related topics

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