Multiply. Write your answer in scientific notation. (4 * 10^1)(1 * 10^4) ______

Identify Coefficients and Powers: Identify the coefficients and the powers of 10 in the given expression. We have: (4 * 10^1)(1 * 10^4) Coefficients: 4 and 1 Power terms: 10^1 and 10^4Multiply Coefficients: Multiply the coefficients. 4 * 1 = 4Add Exponents: Add the exponents of the power terms since the bases are the same. 10^1 * 10^4 = 10^(1 + 4) = 10^5Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 4 Power term = 10^5 Scientific notation: 4 * 10^5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in scientific notation. $\newline$ $(4 \times 10^1)(1 \times 10^4)$ $\newline$ ______

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply. Write your answer in scientific notation.

\newline

(4 \times 10^1)(1 \times 10^4)

\newline

______

Identify Coefficients and Powers: Identify the coefficients and the powers of $10$ in the given expression. $\newline$ We have: $(4 \times 10^1)(1 \times 10^4)$ $\newline$ Coefficients: $4$ and $1$ $\newline$ Power terms: $10^1$ and $10^4$
Multiply Coefficients: Multiply the coefficients. $\newline$ $4 \times 1 = 4$
Add Exponents: Add the exponents of the power terms since the bases are the same. $\newline$ $10^1 \times 10^4 = 10^{(1 + 4)} = 10^5$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $4$ $\newline$ Power term = $10^5$ $\newline$ Scientific notation: $4 \times 10^5$