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Which expression is equivalent to (xy^-6)^2 for all values of x and y where the expression is defined?
A. xy^-36
B. xy^ 36
C. x^2y^ -12
D. x^2y^ 12

Which expression is equivalent to xy62 for all values of x and y where the expression is defined A xy36 B xy 36 C x2y 12 D x2y 12 class=

Respuesta :

Answer:

C.

First, you square the x because it is inside the parentheses. Then, you multiply the -6 by 2, to get your exponent of -12 for the y.

Answer:

[tex] \huge \boxed{ \boxed{ \mathbb{C)} {x}^{2} {y}^{ - 12} }}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • law of exponent
  • PEMDAS

tips and formulas:

  • [tex] \sf( {x}^{m} {)}^{n} < = > {x}^{mn} [/tex]
  • [tex] \sf x < = > {x}^{1} [/tex]

let's solve:

[tex] step - 1 : define[/tex]

[tex] {(xy}^{ - 6} ) ^{2} [/tex]

  1. [tex] \sf \: use \: 1st \: and \: 2nd \: formula : \\ ( {x}^{1 \times 2} {y}^{ - 6 \times 2} )[/tex]
  2. [tex] \sf simplify : \\ {x}^{2} {y}^{ - 12} [/tex]

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