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

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

Add 2 and 1.

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

Add 2 and 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)