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:

(3)/(4)=(10 )/(k)

1010) 34=10k \frac{3}{4}=\frac{10}{k}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Powers with fractional basesright chevron icon

Full solution

Q. 1010) 34=10k \frac{3}{4}=\frac{10}{k}
  1. Given Equation: We are given the equation (34)=(10k)(\frac{3}{4})=(\frac{10}{k}). To find the value of kk, we need to solve for kk. This can be done by cross-multiplying the two fractions.
  2. Cross-Multiply Fractions: Cross-multiply the fractions to get 3×k=4×103 \times k = 4 \times 10.
  3. Perform Multiplication: Perform the multiplication on the right side of the equation to get 3×k=403 \times k = 40.
  4. Divide to Solve for k: Now, divide both sides of the equation by 33 to solve for kk. So, k=403k = \frac{40}{3}.
  5. Final Value of k: Simplify the division to get the final value of kk.k=13.333…k = 13.333\ldots

More problems from Powers with fractional bases

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

Posted 2 months ago

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

Posted 2 months ago

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

Posted 1 month ago

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

Posted 3 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 3 months ago

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

Posted 3 months ago

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

Posted 3 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 4 days 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 1 month 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 1 month ago

View all (20)