Question

Which of these is equal to 4 (−)4 A.()4 B.(−)4 .−()4 D. (−)4

Answer 1

Answer:

(a) $x^4 * (-y)^4 = (xy)^4$

Step-by-step explanation:

Given

$x^4 * (-y)^4$

Required

Select and equivalent expression

$A.\ (xy)^4$     $B.\ (-xy)^4$   $C.\ -(xy)^4$    $D.\ (x-y)^4$

$x^4 * (-y)^4$

Apply law of indices:

$x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)$

This gives:

$x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)$

$x^4 * (-y)^4 =x^4 * y^4$

x and y have the same exponent; So, they can be expressed as:

$x^4 * (-y)^4 = (x*y)^4$

$x^4 * (-y)^4 = (xy)^4$