Multiply. (2 * 10^5)(2 * 10^2) Choices: (A)4 * 10^10 (B)4 * 10^7 (C)7 * 10^7 (D)7 * 10^10

Multiply Coefficients: We have the expression (2 * 10^5)(2 * 10^2). First, we need to multiply the coefficients (2 and 2) together. Calculation: 2 * 2 = 4Multiply Power Terms: Next, we need to multiply the power terms (10^5 and 10^2) together. When multiplying powers with the same base, we add the exponents. Calculation: 10^5 * 10^2 = 10^(5 + 2) = 10^7Combine Results: Combine the results from Step 1 and Step 2 to write the final answer in scientific notation. Calculation: 4 * 10^7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(2 \times 10^5)(2 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $4 \times 10^{10}$ $\newline$ (B) $4 \times 10^7$ $\newline$ (C) $7 \times 10^7$ $\newline$ (D) $7 \times 10^{10}$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^5)(2 \times 10^2)

\newline

Choices:

\newline

(A)

4 \times 10^{10}

\newline

(B)

4 \times 10^7

\newline

(C)

7 \times 10^7

\newline

(D)

7 \times 10^{10}

Multiply Coefficients: We have the expression $(2 \times 10^5)(2 \times 10^2)$ . First, we need to multiply the coefficients $2$ and $2$ together. $\newline$ Calculation: $2 \times 2 = 4$
Multiply Power Terms: Next, we need to multiply the power terms ( $10^5$ and $10^2$ ) together. When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^5 \times 10^2 = 10^{5 + 2} = 10^7$
Combine Results: Combine the results from Step $1$ and Step $2$ to write the final answer in scientific notation. $\newline$ Calculation: $4 \times 10^7$