Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which expression is equivalent to
((x+2)/(x^(2)))((x+2)/(3x))?
A.
(x^(2)+4)/(3x^(2))
B.
(x^(2)+4)/(3x^(3))
C.
(x^(2)+4x+4)/(3x^(2))
D.
(x^(2)+4x+4)/(3x^(3))

Which expression is equivalent to $\left(\frac{x+2}{x^{2}}\right)\left(\frac{x+2}{3 x}\right) ?$ $\newline$ A. $\frac{x^{2}+4}{3 x^{2}}$ $\newline$ B. $\frac{x^{2}+4}{3 x^{3}}$ $\newline$ C. $\frac{x^{2}+4 x+4}{3 x^{2}}$ $\newline$ D. $\frac{x^{2}+4 x+4}{3 x^{3}}$

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

\left(\frac{x+2}{x^{2}}\right)\left(\frac{x+2}{3 x}\right) ?

\newline

A.

\frac{x^{2}+4}{3 x^{2}}

\newline

B.

\frac{x^{2}+4}{3 x^{3}}

\newline

C.

\frac{x^{2}+4 x+4}{3 x^{2}}

\newline

D.

\frac{x^{2}+4 x+4}{3 x^{3}}

Simplify Expression: Simplify the expression $\frac{(x+2)}{x^{2}}$ $\frac{(x+2)}{3x}$ . Combine the numerators and denominators. $\frac{(x+2)(x+2)}{x^{2} \cdot 3x}$
Expand and Simplify: Expand the numerator and simplify the denominator. $\newline$ $(x+2)(x+2) = x^2 + 4x + 4$ $\newline$ $x^2 \times 3x = 3x^3$ $\newline$ So, $(x^2 + 4x + 4) / (3x^3)$
Match with Options: Match the simplified expression with the given options. $\newline$ The expression $(x^2 + 4x + 4) / (3x^3)$ matches option $D$ .

More problems from Multiplication with rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 1 year ago

Question

\newline

(-32)^{1/5}

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 9 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 9 months ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 9 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 9 months ago

Question

\newline

32^{(-1/5)}

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant