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The product of 1.3 times 10 ^ -4 and a number n results in 2.6 times 10 ^ 12. What is the value of n?
A. 2 x 10^-8
B. 2 x 10^-3
C. 2 x 10^16
D. 2 x 10^48

Respuesta :

n would equal = 20,000,000,000,000,000 or 2.0×10^16

Answer:

Option C - [tex]n=2 \times 10^{16}[/tex]

Step-by-step explanation:

Given : The product of [tex]1.3 \times 10 ^{-4}[/tex] and a number n results in [tex]2.6 \times 10^{12}[/tex].

To find : The value of n

Solution :

According to question,

The product of [tex]1.3 \times 10 ^{-4}[/tex] and a number n results in [tex]2.6 \times 10^{12}[/tex].

[tex]1.3 \times 10 ^{-4}\times n=2.6 \times 10^{12}[/tex]

[tex]n=\frac{2.6 \times 10^{12}}{1.3 \times 10 ^{-4}}[/tex]

[tex]n=\frac{2.6 \times 10^{12+4}}{1.3}[/tex]

[tex]n=2\times 10^{16}[/tex]

Therefore,Option C is correct.

The value of n is [tex]n=2 \times 10^{16}[/tex]

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