Question

Find the product: $\left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)$

Answer 1

Simplify by using the law of exponent:

The given expression is $\left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)$.

So, the required product is,

$\left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)=x\times x^2\times x^3\times x^3$

$\Rightarrow \left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)=x^{1+2+3+3}$ $\left[\because a^m\times a^n=a^{m+n}\right]$

$\Rightarrow \left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)=x^9$

Hence, the values of $\left(x\right)\times \left(x^2\right)\times \left(x^3\right)\times \left(x^3\right)$ is $x^9$.