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:

(sqrt(54a^(3)b^(7)))/(sqrt(6b^(5)))

54a3b76b5 \frac{\sqrt{54 a^{3} b^{7}}}{\sqrt{6 b^{5}}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. 54a3b76b5 \frac{\sqrt{54 a^{3} b^{7}}}{\sqrt{6 b^{5}}}
  1. Simplify Expression: Simplify the expression inside the square roots by dividing the terms under the radicals.\newline54a3b76b5=54a3b76b5 \frac{\sqrt{54a^{3}b^{7}}}{\sqrt{6b^{5}}} = \sqrt{\frac{54a^{3}b^{7}}{6b^{5}}}
  2. Simplify Fraction: Simplify the fraction inside the radical.\newline54a3b76b5=9a3b2 \frac{54a^{3}b^{7}}{6b^{5}} = 9a^{3}b^{2}
  3. Take Square Root: Take the square root of the simplified expression.\newline9a3b2=3a1.5b \sqrt{9a^{3}b^{2}} = 3a^{1.5}b

More problems from Find derivatives of using multiple formulae

Question
Find the derivative of f(x) f(x) .\newlinef(x)=cos⁡(x) f(x) = \cos(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 10 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ex f(x) = e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ln⁡(x) f(x) = \ln(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡−1x f(x) = \tan^{-1}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=xex f(x) = x e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=exx f(x) = \frac{e^x}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of f(x) f(x) . \newline f(x)=e(x+1) f(x) = e^{(x + 1)} \newline f′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 10 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=x+3 f(x) = \sqrt{x+3} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

Question
Find the derivative of g(x) g(x). \newline g(x)=ln⁡(2x) g(x) = \ln(2x) \newline g′(x)= g^{\prime}(x) = ______
Get tutor helpright-arrow

Posted 1 year ago

View all (358)

Related topics

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