Question

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

Answer 1

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 2

Answer:

$\huge \boxed{ \boxed{ \mathbb{C)} {x}^{2} {y}^{ - 12} }}$

Step-by-step explanation:

to understand this

you need to know about:

• law of exponent
• PEMDAS

tips and formulas:

• $\sf( {x}^{m} {)}^{n} < = > {x}^{mn}$
• $\sf x < = > {x}^{1}$

let's solve:

$step - 1 : define$

${(xy}^{ - 6} ) ^{2}$

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