Question

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $x^a\times y^a=$ _____

• A. $(xy{)}^{a+a}$
• B. $(xy{)}^a$
• C. $(x+y{)}^a$
• D. $(x+y{)}^{a+a}$

Answer 1

The correct option is B $(xy{)}^a$

For any non-zero integers x and y,
$x^a\times y^a=(xy{)}^a$,
where 'a' is any integer.
For example,
${10}^{-2}\times 3^{-2}=(10\times 3{)}^{-2}={30}^{-2}$