e-4f

This is the conversion formula for Fahrenheit to Celsius, where TF is temperature in Fahrenheit and TC is temperature in Celsius.

TC=59⋅(TF-32)

Substitute the Fahrenheit temperature into the formula.

TF=59⋅(e-4-32)

Rewrite the expression using the negative exponent rule b-n=1bn.

Tc=59⋅(1e4-32)

Apply the distributive property.

Tc=59⋅1e4+59⋅-32

Multiply 59 and 1e4.

Tc=59e4+59⋅-32

Combine 59 and -32.

Tc=59e4+5⋅-329

Multiply 5 by -32.

Tc=59e4+-1609

Tc=59e4+-1609

Move the negative in front of the fraction.

Tc=59e4-1609

Convert the fraction to a decimal by dividing the numerator by the denominator.

Tc=-17.76760242…

Convert to Celsius e^-4f