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. $\newline$ $\frac{3k^2 + 10k}{k}$

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{3k^2 + 10k}{k}

Divide by $k$ : Simplify the expression by dividing $10k$ by $k$ . $\newline$ When we divide terms with the same base, we subtract the exponents. Since $k/k$ is $k^1/k^1$ , the $k$ 's cancel out because any number to the power of $1$ divided by itself is $1$ . $\newline$ $3k^2 + \frac{10k}{k}$ $\newline$ = $3k^2 + 10$
Check for further simplification: Check if any further simplification is possible. $\newline$ The expression $3k^2 + 10$ does not have any like terms to combine, and there are no common factors that can be factored out. Therefore, the expression is already in its simplest form.

More problems from Multiply and divide powers: 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