# Simplify (b^(3/4))/(b^(-3/2))

b34b-32
Move b-32 to the numerator using the negative exponent rule 1b-n=bn.
b34b32
Multiply b34 by b32 by adding the exponents.
Use the power rule aman=am+n to combine exponents.
b34+32
To write 32 as a fraction with a common denominator, multiply by 22.
b34+32⋅22
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 32 and 22.
b34+3⋅22⋅2
Multiply 2 by 2.
b34+3⋅24
b34+3⋅24
Combine the numerators over the common denominator.
b3+3⋅24
Simplify the numerator.
Multiply 3 by 2.
b3+64