Question

$$( { a }^{ 2 } b)(5a { b }^{ 2 } )(-3)$$

Answer

$$-15*a^3*b^3$$

Solution


Simplify.
\[-3{a}^{2}b\times 5a{b}^{2}\]
Take out the constants.
\[-(3\times 5){a}^{2}ab{b}^{2}\]
Simplify  \(3\times 5\)  to  \(15\).
\[-15{a}^{2}ab{b}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-15{a}^{2+1}{b}^{1+2}\]
Simplify  \(2+1\)  to  \(3\).
\[-15{a}^{3}{b}^{1+2}\]
Simplify  \(1+2\)  to  \(3\).
\[-15{a}^{3}{b}^{3}\]