Question

$$-700 { x }^{ 3 } { y }^{ 2 } BY25xy$$

Answer

$$-17500*BY*x^4*y^3$$

Solution


Take out the constants.
\[-(700\times 25){x}^{3}x{y}^{2}yBY\]
Simplify  \(700\times 25\)  to  \(17500\).
\[-17500{x}^{3}x{y}^{2}yBY\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-17500{x}^{3+1}{y}^{2+1}BY\]
Simplify  \(3+1\)  to  \(4\).
\[-17500{x}^{4}{y}^{2+1}BY\]
Simplify  \(2+1\)  to  \(3\).
\[-17500{x}^{4}{y}^{3}BY\]
Regroup terms.
\[-17500BY{x}^{4}{y}^{3}\]