# Simplify 4/(z^2w^5)+9/(z^3w^3)

4z2w5+9z3w3
To write 4z2w5 as a fraction with a common denominator, multiply by zz.
4z2w5⋅zz+9z3w3
To write 9z3w3 as a fraction with a common denominator, multiply by w2w2.
4z2w5⋅zz+9z3w3⋅w2w2
Write each expression with a common denominator of z3w5, by multiplying each by an appropriate factor of 1.
Multiply 4z2w5 and zz.
4zz2w5z+9z3w3⋅w2w2
Raise z to the power of 1.
4zw5(z2z1)+9z3w3⋅w2w2
Use the power rule aman=am+n to combine exponents.
4zw5z2+1+9z3w3⋅w2w2
4zw5z3+9z3w3⋅w2w2
Multiply 9z3w3 and w2w2.
4zw5z3+9w2z3w3w2
Multiply w3 by w2 by adding the exponents.
Move w2.
4zw5z3+9w2z3(w2w3)
Use the power rule aman=am+n to combine exponents.
4zw5z3+9w2z3w2+3
4zw5z3+9w2z3w5
4zw5z3+9w2z3w5
Reorder the factors of z3w5.
4zw5z3+9w2w5z3
4zw5z3+9w2w5z3
Combine the numerators over the common denominator.
4z+9w2w5z3
Simplify 4/(z^2w^5)+9/(z^3w^3)