What is the value of​ n?

5.2 x 10^n = (4x10^5)x(1.3x10^9)

1 answer

To solve this equation, we need to first simplify the right side of the equation using the properties of exponents.

(4x10^5)x(1.3x10^9) = (4x1.3)x(10^5 x 10^9) = 5.2x10^14

Now we can set the left side of the equation equal to the simplified right side:

5.2 x 10^n = 5.2 x 10^14

Since the bases are the same, we can set the exponents equal to each other:

n = 14

Therefore, the value of n is 14.