Question

Simplify: $x^2{y}^2{x}^5{y}^3$

• A. $x^7{y}^5$
• B. $x^7{y}^7$
• C. $x^5{y}^5$
• D. $x^5{y}^7$

Answer 1

The correct option is A

$x^7{y}^5$

$x^2{y}^2{x}^5{y}^3$

$=x^2{x}^5{y}^2{y}^3$

$=x^{2+5}{y}^{2+3}$ $[\because a^m\times a^n=(a{)}^{m+n}]$

$=x^7{y}^5$