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:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. ((3)/(2))/(-(5)/(6)) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline32−56 \frac{\frac{3}{2}}{-\frac{5}{6}} \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Multiplication with rational exponentsright chevron icon

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline32−56 \frac{\frac{3}{2}}{-\frac{5}{6}} \newlineAnswer:
  1. Understand Division Operation: Understand the operation of division between two fractions. To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.
  2. Find Reciprocal: Find the reciprocal of the second fraction.\newlineThe reciprocal of (−56)(-\frac{5}{6}) is (−65)(-\frac{6}{5}), because flipping the numerator and denominator of a fraction gives its reciprocal.
  3. Perform Multiplication: Perform the multiplication.\newlineNow, multiply (32)(\frac{3}{2}) by the reciprocal of (−56)(-\frac{5}{6}), which is (−65)(-\frac{6}{5}).\newline(32)×(−65)=(3×−62×5)(\frac{3}{2}) \times (-\frac{6}{5}) = (\frac{3 \times -6}{2 \times 5})
  4. Calculate Multiplication: Calculate the multiplication of numerators and denominators.\newlineMultiply the numerators: 3×−6=−183 \times -6 = -18\newlineMultiply the denominators: 2×5=102 \times 5 = 10\newlineSo, the expression becomes (−18/10)(-18/10).
  5. Simplify Fraction: Simplify the fraction.\newlineThe fraction (−1810)(-\frac{18}{10}) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 22.\newline(−1810)÷22=(−95)(-\frac{18}{10}) \div \frac{2}{2} = (-\frac{9}{5})

More problems from Multiplication with rational exponents

Question
Simplify.\newline811281^{\frac{1}{2}}\newline_____________
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify.\newline(−32)1/5(-32)^{1/5}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Assume all variables are positive.\newlinew43w73\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Assume all variables are positive.\newline(2r13)8(2r^{\frac{1}{3}})^8\newline\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. Assume all variables are positive.\newlinev74⋅v94v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}\newline\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify.\newline114⋅1141^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Simplify. \newline32(−1/5)32^{(-1/5)}
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. Assume all variables are positive.\newlinew32w52\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}\newline\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______\newline
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Assume all variables are positive.\newline(27x)23(27x)^{\frac{2}{3}}\newline\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify. Assume all variables are positive.\newlinex14x114\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}\newline\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______\newline
Get tutor helpright-arrow

Posted 7 months ago

View all (744)

Related topics

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