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

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absor201

Answer:

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

Step-by-step explanation:

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

[tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109[/tex]

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

The first step is to solve brackets.

[tex](2.4 \times 103) \times (3 \times 10n) = 7.2 \times 109\\247.2 \times 30n=784.8[/tex]

Then, Divide both sides by 247.2

[tex]30n=\frac{784.8}{247.2}\\30n=3.1746[/tex]

Now, divide both sides by 30

[tex]n=\frac{3.1746}{30} \\n=0.10582[/tex]

We get the value of n: n=0.10582

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

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