How do you simplify $(xy)^pi$ ?

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Answer 1 · 2017-09-10T12:13:12

See a solution process below:

We can rewrite the expression within the parenthesis using this rule of exponents:

$a = a^color(red)(1)$

$(xy)^pi => (x^color(red)(1)y^color(red)(1))^pi$

We can now eliminate the outer exponent using this rule of exponents:

$(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))$

$(x^color(red)(1)y^color(red)(1))^color(blue)(pi) => x^(color(red)(1)xxcolor(blue)(pi))y^(color(red)(1)xxcolor(blue)(pi)) => x^piy^pi$

How do you simplify (xy)^pi(xy)^pi?