Question

(2*10^-8*8*10^-4)/(8.85*10^-12*5*10^-3)

Answer 1

Числа пишите отдельно, степени отдельно:

2*8/(8,85*5) * 10⁻⁸⁻⁴⁺¹²⁺³=0,362 * 10³=362.

Answer 2

To simplify the expression (2 * 10^-8 * 8 * 10^-4) / (8.85 * 10^-12 * 5 * 10^-3), you can use the properties of exponents and basic arithmetic.

First, let's multiply the numbers in the numerator and denominator and then simplify the exponents:

Numerator: 2 * 10^-8 * 8 * 10^-4 = 2 * 8 * 10^(-8 - 4) = 16 * 10^-12

Denominator: 8.85 * 10^-12 * 5 * 10^-3 = 8.85 * 5 * 10^(-12 - 3) = 44.25 * 10^-15

Now, we can divide the numerator by the denominator:

(16 * 10^-12) / (44.25 * 10^-15)

To divide, subtract the exponent in the denominator from the exponent in the numerator:

10^(-12 - (-15)) = 10^(-12 + 15) = 10^3 = 1000

So, the simplified expression is 16 * 1000, which equals 16,000.