4)
Which expression is equivalent to (-4x^-3 y^-5)^2 Select all that apply.
A. 16y^10/x^10
B. 16x^-6 y^-10
C. -8x^-5 y^7
D. 16y^ -10/x^6
E. -8y^7/x^5
The correct expression that is equivalent to (-4x^-3 y^-5)^2 is:
B. 16x^-6 y^-10
are you sure
Apologies for the oversight. Let's break down the expression and find the correct equivalent:
(-4x^-3 y^-5)^2
Squaring a term means multiplying it by itself. Therefore, to square (-4x^-3 y^-5), we multiply it by itself:
(-4x^-3 y^-5) * (-4x^-3 y^-5)
= 16x^-6 y^-10
Therefore, the correct equivalent expression is:
B. 16x^-6 y^-10
what about d
Let's check option D:
D. 16y^-10/x^6
Given expression: (-4x^-3 y^-5)^2
When we square (-4x^-3 y^-5), we get 16x^-6 y^-10.
So yes, option D (16y^-10/x^6) is equivalent to the given expression as well.
Therefore, the correct equivalent expressions are:
B. 16x^-6 y^-10
and
D. 16y^-10/x^6
what about a, c and e
Let's check the remaining options:
A. 16y^10/x^10
We started with (-4x^-3 y^-5)^2 = 16x^-6 y^-10, so this expression is not correct.
C. -8x^-5 y^7
This is not equivalent to the original expression (-4x^-3 y^-5)^2 = 16x^-6 y^-10.
E. -8y^7/x^5
This is also not equivalent to the original expression.
Therefore, the correct equivalent expressions are:
B. 16x^-6 y^-10
and
D. 16y^-10/x^6