Solve 3text{kg}250text{g:}2text{kg}500

$$3 \text { kg } 250 \text { g: } 2 \text { kg } 500$$

Evaluate

$$187500k^{2}g^{3}$$

Solution Steps

Multiply g and g to get g^{2}.

$$\frac{3kg^{2}\times 250}{2}kg\times 500$$

Multiply 3 and 250 to get 750.

$$\frac{750kg^{2}}{2}kg\times 500$$

Divide 750kg^{2} by 2 to get 375kg^{2}.

$$375kg^{2}kg\times 500$$

Multiply k and k to get k^{2}.

$$375k^{2}g^{2}g\times 500$$

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

$$375k^{2}g^{3}\times 500$$

Multiply 375 and 500 to get 187500.

$$187500k^{2}g^{3}$$

Differentiate w.r.t. k

$$375000kg^{3}$$