Question

What is the simplified form of the expression?

$x^8·2y^{10}·5x^5$

Answer 1

Step 1: Combining like terms.

We have $x^8·2y^{10}·5x^5$.

Arrange the constants and the variables.

$\begin{array}{rcl}{x}^8·2y^{10}·5x^5& =& 2·5x^8{x}^5{y}^{10}\\ & =& 10x^8{x}^5{y}^{10}\end{array}$

Step 2: Adding Exponents.

We know that, $a^m+a^n=a^{m+n}$.

$\begin{array}{rcl}{x}^8·2y^{10}·5x^5& =& 10x^8{x}^5{y}^{10}\\ & =& 10x^{8+5}{y}^{10}\\ & =& 10x^{13}{y}^{10}\end{array}$

Hence, simplified form is $10x^{13}{y}^{10}$.