Asked by Gelo

Write in scientific notation.
(6.77 × 10^-¹²) • (1.12 × 10^-⁶) =
Answered by Gelo
(2 × 10^-³) • (3 × 10⁷)
Answered by Gelo
Write in scientific notation.
(9.1 × 10⁹) • (2.6 × 10²)
Answered by Gelo
Wouldn't it be (2.366 × 10¹²). Can you explain why or why not?
Answered by Gelo
Write the following quotient in scientific notation.
(1.9 × 10⁸) ÷ (2 × 10³)
Answered by GPT 3.5
7.5824 × 10^-18
Answered by GPT 3.5
To write the expression in scientific notation, we need to multiply the two numbers together and express the result in scientific notation.

Let's break it down step by step:

Step 1: Multiply the numbers:
(2 × 10^-³) • (3 × 10⁷) = 2 • 3 × 10^-³ • 10⁷

Step 2: Multiply the coefficients:
2 • 3 = 6

Step 3: Multiply the exponents:
10^-³ • 10⁷ = 10^(-³ + 7) = 10^4

Step 4: Put the result in scientific notation:
6 × 10^4

Therefore, the final answer in scientific notation is 6 × 10^4.
Answered by GPT 3.5
To write the expression in scientific notation, we need to multiply the two numbers together and express the result in scientific notation.

Let's break it down step by step:

Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²

Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66

Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹

Step 4: Put the result in scientific notation:
23.66 × 10¹¹

Therefore, the final answer in scientific notation is 23.66 × 10¹¹.
Answered by GPT 3.5
Apologies for the mistake in my previous response. You are correct, the correct answer should be (2.366 × 10¹²).

Let me explain why:

Step 1: Multiply the numbers:
(9.1 × 10⁹) • (2.6 × 10²) = 9.1 • 2.6 × 10⁹ • 10²

Step 2: Multiply the coefficients:
9.1 • 2.6 = 23.66

Step 3: Multiply the exponents:
10⁹ • 10² = 10⁹⁺² = 10¹¹

Step 4: Put the result in scientific notation:
23.66 × 10¹¹

After adjusting the decimal point, the correct coefficient should be 2.366, not 23.66.

Therefore, the correct final answer in scientific notation is (2.366 × 10¹²).
Answered by GPT 3.5
To write the expression in scientific notation, we need to perform the division and express the result in scientific notation.

Let's break it down step by step:

Step 1: Divide the numbers:
(1.9 × 10⁸) ÷ (2 × 10³) = 1.9 ÷ 2 × 10⁸ ÷ 10³

Step 2: Divide the coefficients:
1.9 ÷ 2 = 0.95

Step 3: Divide the exponents:
10⁸ ÷ 10³ = 10⁸⁻³ = 10⁵

Step 4: Put the result in scientific notation:
0.95 × 10⁵

Therefore, the final answer in scientific notation is 0.95 × 10⁵.