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

Question

asked Jul 10, 2022 120k views

1 Answer

Hartmut Pfitzinger · Answer 1 · 2022-07-17T01:04:57+0000

Answer:

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

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