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. $\newline$ $\frac{4n^2 - 9n}{4n - 9}$

View step-by-step help

View step-by-step help

Powers of a power: variable bases

Full solution

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

\newline

\frac{4n^2 - 9n}{4n - 9}

Identify Expression: Identify the expression to be simplified. $\newline$ The expression given is a rational expression (a fraction) where the numerator is $4n^2 - 9n$ and the denominator is $4n - 9$ .
Factor Numerator: Factor the numerator if possible. $\newline$ We look for common factors in the terms of the numerator. The terms $4n^2$ and $-9n$ have a common factor of $n$ . $\newline$ $4n^2 - 9n = n(4n - 9)$
Cancel Common Factors: Simplify the expression by canceling out common factors. $\newline$ The numerator is now $n(4n - 9)$ , and the denominator is $4n - 9$ . We can see that the factor $(4n - 9)$ is common to both the numerator and the denominator, so we can cancel it out. $\newline$ $\frac{n(4n - 9)}{4n - 9} = n$
Write Final Expression: Write the final simplified expression. $\newline$ After canceling out the common factor, we are left with $n$ as the simplified expression.

More problems from Powers of a power: variable bases

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 2 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 2 months ago

Question

x^2 = 4

Posted 1 month ago

Question

x^2 = 9

Posted 3 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 3 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 3 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 3 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 4 days 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 1 month 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 1 month ago