hikaricyx
hikaricyx hikaricyx
  • 16-07-2021
  • Mathematics
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If the expression below is equal to yᵃ for all positive values of y, what is the value of a?

If the expression below is equal to yᵃ for all positive values of y what is the value of a class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 16-07-2021

Answer:

y^5/12

Step-by-step explanation:

y ^ 1/4 * y ^ 1/2

-------------------------

y ^ 1/3

We know a^b * a^c = a^(b+c)

y^ 1/4 * y^1/2 = y^ (1/4+1/2) = y^(1/4+2/4) = y^(3/4)

y ^ 3/4

---------

y ^ 1/3

We know a^b / a^c = y(b-c)

y^(3/4 - 1/3) = y^(9/12 - 4/12)

y^5/12

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