Question

The product of 1.3x10^-4 and a number n results in 2.6x10^12. What is the value of n?

Answer 1

(1.3x10^(-4) )*n = 2.6x10^12

So:
2.6*10^12 2.6
n = ------------------ = ----------- = 2*10^(12+4) = 2*10^16 (answer)
(1.3*10^(-4) 1.3

Answer 2

`2 \cdot 10^(16)`

Explanation:

The product of 1.3x10^-4 and a number n results in 2.6x10^12.

`1.3 \cdot 10^(-4) \cdot n = 2.6 \cdot 10^(12)`

To solve for n , we need to get 'n' alone

We divide 1.3x10^-4 on both sides of the equation

`n=(2.6 \cdot 10^(12))/(1.3 \cdot 10^(-4))`

USe exponential property to divide the exponents

a^m / a^n = a^m-n

2.6 divide by 1.3 is 2

`(10^(12))/(10^(-4)) = 10^(16)`

The value of n is 2 times 10^16