ilovealindra ilovealindra
  • 31-05-2022
  • Mathematics
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Use the equation y=3(1/2)^x to determine the value of y if x=−2. A)3 B)4/9 C)3/4 D)12

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reinhard10158
reinhard10158 reinhard10158
  • 02-06-2022

Step-by-step explanation:

remember the rules of exponents.

a "minus" sign means 1/...

like 2^-1 = 1/2

and 2^-3 = 2^(3(-1))

so, it is 1/2³ = 1/8.

so, now here in our case

y = 3×(1/2)^-2 = 3×(1/2)^(2(-1)) = 3×((1/2)²)^-1 = 3×(1/4)^-1 =

= 3× 1 / 1/4 = 3×4 = 12

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