Multiply $- a^{2} b$ by $a^{3} b^{2}$ and verify your result for $a = 2, b = 3$ .

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Solution

Multiplying ; $- a^{2} b \times a^{3} b^{2}$

$= - a^{2 + 3} b^{1 + 2}$

$= - a^{5} b^{3}$

Verify:
If $a = 2$ and $b = 3$

$- a^{2} b = - (2)^{2} \times 3$ $= - 4 \times 3$ $= - 12$

$a^{3} b^{2} = (2)^{3} \times (3)^{2}$ $= 8 \times 9$ $= 72$

$- a^{2} b \times a^{3} b^{2} = - 12 \times 72 = - 864$

$- a^{5} b^{3} = - (2)^{5} \times (3)^{3}$
$= - 32 \times 27$
$= - 864$

Hence, verified.

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