Multiply. (2 * 10^4)(3 * 10^3) Choices: (A)2 * 10^7 (B)1 * 10^7 (C)9 * 10^7 (D)6 * 10^7

Multiply Coefficients: We have the expression (2 * 10^4)(3 * 10^3). First, we need to multiply the coefficients (2 and 3) together. Calculation: 2 * 3 = 6Multiply Power Terms: Next, we need to multiply the power terms (10^4 and 10^3) together. When multiplying powers with the same base, we add the exponents. Calculation: 10^4 * 10^3 = 10^(4 + 3) = 10^7Combine Results: Combine the results from Step 1 and Step 2 to write the final answer in scientific notation. Calculation: 6 * 10^7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(2 \times 10^4)(3 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $2 \times 10^7$ $\newline$ (B) $1 \times 10^7$ $\newline$ (C) $9 \times 10^7$ $\newline$ (D) $6 \times 10^7$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^4)(3 \times 10^3)

\newline

Choices:

\newline

(A)

2 \times 10^7

\newline

(B)

1 \times 10^7

\newline

(C)

9 \times 10^7

\newline

(D)

6 \times 10^7

Multiply Coefficients: We have the expression $(2 \times 10^4)(3 \times 10^3)$ . First, we need to multiply the coefficients $2$ and $3$ together. $\newline$ Calculation: $2 \times 3 = 6$
Multiply Power Terms: Next, we need to multiply the power terms ( $10^4$ and $10^3$ ) together. When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^4 \times 10^3 = 10^{4 + 3} = 10^7$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final answer in scientific notation. $\newline$ Calculation: $6 \times 10^7$