Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using positive exponents. $\newline$ $(10n)(6n)(9n^4)$

View step-by-step help

View step-by-step help

Simplify exponential expressions using the multiplication and division rules

Full solution

Q. Simplify. Express your answer using positive exponents.

\newline

(10n)(6n)(9n^4)

Identify Components: Identify the components of the expression 10n)(6n)(9n^4)\. We have three terms that are being multiplied together. Each term consists of a coefficient and a power of \$n. We will group the coefficients and the powers of $n$ separately.
Multiply Coefficients: Multiply the coefficients together. $\newline$ The coefficients are $10$ , $6$ , and $9$ . We multiply these numbers together to get the coefficient of the final expression. $\newline$ $10 \times 6 \times 9 = 60 \times 9 = 540$
Combine Powers: Combine the powers of $n$ . We have $n$ from the first term, $n$ from the second term, and $n^4$ from the third term. When multiplying powers with the same base, we add the exponents. $n^1 \times n^1 \times n^4 = n^{(1+1+4)} = n^6$
Write Final Expression: Write the final simplified expression. $\newline$ We combine the coefficient from Step $2$ with the power of $n$ from Step $3$ to get the final simplified expression. $\newline$ $540 \times n^6 = 540n^6$

More problems from Simplify exponential expressions using the multiplication and division rules

Question

\newline

2^2 =

Posted 3 months ago

Question

Evaluate. Write your answer as a fraction or whole number.

\newline

(\frac{1}{4})^4

Posted 3 months ago

Question

Which is equal to

9^{-61}

\newline

\newline

\frac{1}{(-9)^{-61}}

\newline

(-9)^{-61}

\newline

(-9)^{61}

\newline

\frac{1}{(9^{61})}

Posted 2 months ago

Question

\newline

Express your answer using positive exponents.

\newline

r^5 \cdot r^8

Posted 3 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(h^2)^6

\newline

Posted 2 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(9p^5)(5p^8)

\newline

Posted 3 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

(2v^3)(4v)(5v)

\newline

Posted 3 months ago

Question

Simplify. Express your answer using a single exponent.

\newline

(5z^8)^2

\newline

Posted 3 months ago

Question

Simplify. Express your answer using positive exponents.

\newline

r^9 \cdot r^8 \cdot r^{\text{-}5}

\newline

Posted 3 months ago

Question

Which expression is equivalent to

6 \times 6^8

\newline

\newline

\frac{1}{6^9}

\newline

6^8

\newline

\frac{1}{6^8}

\newline

6^9

Posted 2 months ago