Multiply. (4 * 10^4)(2 * 10^1) Choices: (A)8 * 10^8 (B)8 * 10^1 (C)8 * 10^6 (D)8 * 10^5

Multiply Coefficients: We have the expression (4 * 10^4)(2 * 10^1). First, we need to multiply the coefficients (4 and 2) together. Calculation: 4 * 2 = 8Multiply Power Terms: Next, we multiply the power terms (10^4 and 10^1) together. When multiplying powers with the same base, we add the exponents. Calculation: 10^4 * 10^1 = 10^(4 + 1) = 10^5Combine Results: Combine the results from Step 1 and Step 2 to write the final answer in scientific notation. Calculation: 8 * 10^5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(4 \times 10^4)(2 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $8 \times 10^8$ $\newline$ (B) $8 \times 10^1$ $\newline$ (C) $8 \times 10^6$ $\newline$ (D) $8 \times 10^5$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(4 \times 10^4)(2 \times 10^1)

\newline

Choices:

\newline

(A)

8 \times 10^8

\newline

(B)

8 \times 10^1

\newline

(C)

8 \times 10^6

\newline

(D)

8 \times 10^5

Multiply Coefficients: We have the expression $(4 \times 10^4)(2 \times 10^1)$ . First, we need to multiply the coefficients $4$ and $2$ together. $\newline$ Calculation: $4 \times 2 = 8$
Multiply Power Terms: Next, we multiply the power terms ( $10^4$ and $10^1$ ) together. When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^4 \times 10^1 = 10^{4 + 1} = 10^5$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final answer in scientific notation. $\newline$ Calculation: $8 \times 10^5$