Solve 24xy^2z^3text{by}6yz^2

$$24 x y ^ { 2 } z ^ { 3 } \text { by } 6 y z ^ { 2 }$$

Evaluate

$$144bxy^{4}z^{5}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$24xy^{3}z^{3}b\times 6yz^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$24xy^{4}z^{3}b\times 6z^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$24xy^{4}z^{5}b\times 6$$

Multiply 24 and 6 to get 144.

$$144xy^{4}z^{5}b$$

Differentiate w.r.t. x

$$144by^{4}z^{5}$$