simplify u^3wz^-3
(u^3)/((w^3)*(z^3))
To simplify the expression u^3wz^-3, we can apply the power rule, which states that when you raise a term with an exponent to another exponent, you multiply the exponents.
Step 1: Simplify u^3. The exponent 3 tells us to multiply u by itself three times. So, u^3 simplifies to u * u * u.
Step 2: Simplify z^-3. The exponent -3 tells us to take the reciprocal of z and then raise it to the power of 3. So, z^-3 simplifies to (1/z)^3 or 1/(z^3).
Now, we can rewrite the expression using the simplified forms of u^3 and z^-3:
(u * u * u) * w * (1/(z^3))
Next, we can rearrange the terms in any order since multiplication is commutative:
u * u * u * w * 1/(z^3)
Finally, we can group the terms together:
(u^3 * w) / (z^3)
Therefore, the simplified form of u^3wz^-3 is (u^3 * w) / (z^3).