Question

Which of the following represents the power of product rule?

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

Answer 1

Answer: (D)

$(x\times y{)}^a=x^a\times y^a$

If the product of the bases is powered by the same exponent,

then the result is multiplication of all the bases,

each powered by the given exponent.
$\therefore (x\times y{)}^a=x^a\times y^a$.

So, option $D$ is correct.