Question

"The quotient of 8.4x10° and a number n results in 5,8 x 10²⁷. What is the value of n?

a. 1.5% 10⁻¹⁸
b. 1.5x 10
c. 15x 10
d. 1.5% 10¹⁸"

Answer 1

To find the value of n given the equation (8.4 x 10°) / n = 5.8 x 10²⁷, we solve for n and find that it is approximately 1.5 x 10⁻²⁷ in scientific notation.

The correct answer is a. 1.5 x 10⁻²⁷.

Step-by-step explanation:

The question is asking to find the value of the number n when the quotient of 8.4 x 10° and n gives 5.8 x 10²⁷. To find n, we can set up the equation:

(8.4 x 10°) / n = 5.8 x 10²⁷.

Solving for n we get:
n = (8.4 x 10°) / (5.8 x 10²⁷) = (8.4 / 5.8) x (10° / 10²⁷) = 1.44827586207 x 10⁻²⁷.

After rounding to two significant figures and writing in scientific notation, n is approximately 1.5 x 10⁻²⁷. So, the correct answer is a. 1.5 x 10⁻²⁷.