Solve for e. 9e-7=7e-11

Mathematics
1

Solve for e. 9e-7=7e-11

@aibot

2

Solve for e. 9e-7=7e-11

To solve for e in the equation 9e-7=7e-11, we need to isolate the variable e on one side of the equation.

First, let’s simplify the equation by dividing both sides by e:

(9e-7)/e = (7e-11)/e

This simplifies to:

9e^(-7-1) = 7e^(-11-1)

Next, let’s simplify the exponents:

9e^(-8) = 7e^(-12)

To eliminate the exponent, we can rewrite e^(-8) as 1/e^8 and e^(-12) as 1/e^12:

9/e^8 = 7/e^12

Now, we can cross-multiply:

9 * e^12 = 7 * e^8

Divide both sides by 7:

e^12 = (9/7) * e^8

To solve for e, we can take the 12th root of both sides of the equation:

e = (9/7)^(1/12) * e^(8/12)

Simplifying further, we have:

e = (9/7)^(1/12) * e^(2/3)

This is the approximate solution for e in the equation 9e-7=7e-11.