Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Write your answer using whole numbers and variables. $\newline$ $\frac{u - 6}{u^2 - 6u}$

View step-by-step help

View step-by-step help

Multiply and divide powers: variable bases

Full solution

Q. Simplify. Write your answer using whole numbers and variables.

\newline

\frac{u - 6}{u^2 - 6u}

Factor GCF from denominator: Factor out the greatest common factor (GCF) from the denominator. The GCF of $u^2$ and $6u$ is $u$ , so we factor $u$ out of the denominator. $u^2 - 6u = u(u - 6)$
Rewrite with factored denominator: Rewrite the original expression with the factored denominator. $\newline$ $(u - 6)/(u^2 - 6u)$ becomes $(u - 6)/(u(u - 6))$
Cancel common terms: Cancel out the common terms in the numerator and the denominator. $\newline$ The term $(u - 6)$ is common to both the numerator and the denominator, so we can cancel it out. $\newline$ $\frac{u - 6}{u(u - 6)} = \frac{1}{u}$
Check for simplification/restrictions: Check for any possible simplification or restrictions. $\newline$ Since we cannot divide by zero, we must state that $u$ cannot be equal to $0$ . $\newline$ There are no further simplifications possible, so the final simplified expression is $\frac{1}{u}$ .

More problems from Multiply and divide powers: variable bases

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 8 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 8 months ago

Question

x^2 = 4

Posted 7 months ago

Question

x^2 = 9

Posted 9 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 9 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 9 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 9 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 6 months ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 7 months ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 8 months ago

Related topics

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