Question

What is the value of n in this equation? Enter your answer in the box. (2.4 × 103) × (3 × 10n) = 7.2 × 109

Answer 1

Answer:

Solving the equation $(2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109$ we get $\mathbf{n=0.10582}$

Step-by-step explanation:

We need to find the value of n in the given equation

$(2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109$

The equation can be simplified by using multiplication and division rules.

The first step is to solve brackets.

$(2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109\\247.2 \times 30n=784.8$

Then, Divide both sides by 247.2

$30n=\frac{784.8}{247.2}\\30n=3.1746$

Now, divide both sides by 30

$n=\frac{3.1746}{30} \\n=0.10582$

We get the value of n: n=0.10582

So, solving the equation $(2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109$ we get $\mathbf{n=0.10582}$