Simplify ((3z^3)/(2w^3))÷((zw)/(2w^2))

Math
3z32w3÷zw2w2
To divide by a fraction, multiply by its reciprocal.
3z32w3⋅2w2zw
Cancel the common factor of z.
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Factor z out of 3z3.
z(3z2)2w3⋅2w2zw
Factor z out of zw.
z(3z2)2w3⋅2w2z(w)
Cancel the common factor.
z(3z2)2w3⋅2w2zw
Rewrite the expression.
3z22w3⋅2w2w
3z22w3⋅2w2w
Cancel the common factor of 2w2.
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Factor 2w2 out of 2w3.
3z22w2(w)⋅2w2w
Cancel the common factor.
3z22w2w⋅2w2w
Rewrite the expression.
3z2w⋅1w
3z2w⋅1w
Multiply 3z2w and 1w.
3z2w⋅w
Raise w to the power of 1.
3z2w1w
Raise w to the power of 1.
3z2w1w1
Use the power rule aman=am+n to combine exponents.
3z2w1+1
Add 1 and 1.
3z2w2
Simplify ((3z^3)/(2w^3))÷((zw)/(2w^2))

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