Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Question 8
Simplify
((1)/(6)x-(2)/(9)x)+(5)/(9)x

Question $8$ $\newline$ Simplify $\left(\frac{1}{6} x-\frac{2}{9} x\right)+\frac{5}{9} x$

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Question

8

\newline

Simplify

\left(\frac{1}{6} x-\frac{2}{9} x\right)+\frac{5}{9} x

Find Common Denominator: The common denominator for $6$ and $9$ is $18$ .\ Rewrite each term with the common denominator.\ $(\frac{3}{18})x - (\frac{4}{18})x + (\frac{10}{18})x$
Rewrite with Common Denominator: Now, combine the like terms. $\newline$ (\frac{\(3\)}{\(18\)})x - (\frac{\(4\)}{\(18\)})x + (\frac{\(10\)}{\(18\)})x = \frac{\(3\) - \(4\) + \(10\)}{\(18\)} x
Combine Like Terms: Simplify the numerator.\(\newline $(3 - 4 + 10) = 9$ $\newline$ So, $\frac{(3 - 4 + 10)}{18} x = \frac{9}{18}x$
Simplify Numerator: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $9$ . $\newline$ $\frac{9}{18}x = \frac{1}{2}x$

More problems from Multiplication with rational exponents

Question

\newline

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

\newline

Posted 3 months ago

Question

\newline

(-32)^{1/5}

\newline

Posted 3 months 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 3 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 2 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 3 months ago

Question

\newline

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

\newline

Posted 2 months ago

Question

\newline

32^{(-1/5)}

Posted 2 months 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 3 months 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 2 months 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 2 months ago