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:

Rewrite the expression in the form k*x^(n). Write the exponent as an integer, fraction, or an exact decimal (not a mixed number). (12sqrtx)/(4x^(3))=◻

Rewrite the expression in the form k⋅xn k \cdot x^{n} .\newlineWrite the exponent as an integer, fraction, or an exact decimal (not a mixed number).\newline12x4x3=□ \frac{12 \sqrt{x}}{4 x^{3}}=\square

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Powers with decimal and fractional basesright chevron icon

Full solution

Q. Rewrite the expression in the form k⋅xn k \cdot x^{n} .\newlineWrite the exponent as an integer, fraction, or an exact decimal (not a mixed number).\newline12x4x3=□ \frac{12 \sqrt{x}}{4 x^{3}}=\square
  1. Simplify Coefficient: Simplify the coefficient.\newlineDivide the coefficient in the numerator by the coefficient in the denominator.\newlineCalculation: 12/4=312 / 4 = 3
  2. Rewrite as Exponent: Rewrite the square root of xx as an exponent.\newlineThe square root of xx can be written as x(1/2)x^{(1/2)}.
  3. Combine Exponents: Combine the exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlineCalculation: (12)−3=(12)−(62)=−52(\frac{1}{2}) - 3 = (\frac{1}{2}) - (\frac{6}{2}) = -\frac{5}{2}
  4. Write Final Expression: Write the final expression.\newlineCombine the simplified coefficient and the combined exponent.\newlineFinal expression: 3x−523x^{-\frac{5}{2}}

More problems from Powers with decimal and fractional bases

Question
Evaluate.\newline22=2^2 = _____
Get tutor helpright-arrow

Posted 1 year ago

Question
Evaluate. Write your answer as a fraction or whole number.\newline(14)4(\frac{1}{4})^4 = _____
Get tutor helpright-arrow

Posted 10 months ago

Question
Which is equal to 9−619^{-61}?
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. \newlineExpress your answer using positive exponents.\newline r5⋅r8r^5 \cdot r^8
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. Express your answer using a single exponent.\newline(h2)6(h^2)^6\newline______
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. Express your answer using positive exponents.\newline(9p5)(5p8)(9p^5)(5p^8)\newline_____________
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. Express your answer using positive exponents.\newline(2v3)(4v)(5v)(2v^3)(4v)(5v)\newline______
Get tutor helpright-arrow

Posted 1 year ago

Question
Simplify. Express your answer using a single exponent.\newline(5z8)2(5z^8)^2\newline_____________
Get tutor helpright-arrow

Posted 10 months ago

Question
Simplify. Express your answer using positive exponents.\newliner9⋅r8⋅r-5 r^9 \cdot r^8 \cdot r^{\text{-}5} \newline______
Get tutor helpright-arrow

Posted 10 months ago

Question
Which expression is equivalent to 6×686 \times 6^8?\newlineChoices:\newline169\frac{1}{6^9}\newline686^8\newline168\frac{1}{6^8}\newline696^9
Get tutor helpright-arrow

Posted 1 year ago

View all (96)

Related topics

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