Question

On multiplying $7x^2$ by $-6x^3$, we get product _________.

• A. $42x^5$
• B. $-42x$
• C. $-42x^5$
• D. $40x$

Answer 1

The correct option is C $-42x^5$

Let the product of $7x^2$ and $-6x^3$ be $p$

$\Rightarrow p=\left(7x^2\right)(-6x^3)$

$\Rightarrow p=(7\times (-6\left)\right)(x^2\times x^3)=(-42)\left(x^{(2+3)}\right)$

$\Rightarrow p=-42x^5$.

Therefore, on multiplying $7x^2$ and $-6x^3$ , we get product $-42x^5$.