Question

Match the following to their simplified expressions.

• A. $-12x^5$
• B. $10x^3{y}^6$
• C. $-12x^7$
• D. $20x^2{y}^4$

Answer 1

To multiply two monomials, we can use the law of exponents.
i.e.$p^a\times p^b=p^{a+b}$

i) $\left(4x^2\right)(-3x^3)$
$\Rightarrow$ $4\times (-3)x^{2+3}$
$\Rightarrow$$-12x^5$

ii) $\left(5x^3\right)\left(2y^6\right)$
$\Rightarrow$ $5\times 2x^3{y}^6$
$\Rightarrow$$10x^3{y}^6$

iii) $(-6x^2)\left(2x^5\right)$
$\Rightarrow$ $-6\times 2x^{2+5}$
$\Rightarrow$$-12x^7$

iv) $\left(10x^2\right)\left(2y^4\right)$
$\Rightarrow$ $10\times 2x^2{y}^4$
$\Rightarrow$$20x^2{y}^4$