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. (7)/(8)*-(2)/(3) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline78⋅−23 \frac{7}{8} \cdot-\frac{2}{3} \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.\newline78⋅−23 \frac{7}{8} \cdot-\frac{2}{3} \newlineAnswer:
  1. Multiply Numerators: Multiply the numerators of the two fractions.\newlineWe have (78)×−(23)(\frac{7}{8}) \times -(\frac{2}{3}). To multiply fractions, we multiply the numerators together and the denominators together.\newlineSo, the numerator of the product will be 7×−27 \times -2.\newlineCalculation: 7×−2=−147 \times -2 = -14
  2. Multiply Denominators: Multiply the denominators of the two fractions.\newlineThe denominator of the product will be 8×38 \times 3.\newlineCalculation: 8×3=248 \times 3 = 24
  3. Write Product: Write the product of the two fractions with the multiplied numerator and denominator.\newlineThe product of the fractions is (−1424)(-\frac{14}{24}).
  4. Reduce Fraction: Reduce the fraction to its simplest form.\newlineTo simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.\newlineThe GCD of −14-14 and 2424 is 22.\newlineCalculation: −14÷2=−7-14 \div 2 = -7, 24÷2=1224 \div 2 = 12\newlineSo, the simplified fraction is (−7/12)(-7/12).

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