# Write as a Function of L t=2pi square root of L/32

Simplify .
Rewrite as .
Factor the perfect power out of .
Factor the perfect power out of .
Rearrange the fraction .
Pull terms out from under the radical.
Rewrite as .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Evaluate the exponent.
Combine using the product rule for radicals.
Multiply .
Multiply and .
Multiply by .
Cancel the common factor of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Move to the left of .
To rewrite as a function of , write the equation so that is by itself on one side of the equal sign and an expression involving only is on the other side.
Write as a Function of L t=2pi square root of L/32