What is the value of the expression x³yc^8/x²y²c^7 when x is 2, y is 3, and c is -2? a. -27/16 b. 27/16 c. 32/27 d. -32/27
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Given : expression x³yc⁸/x²y²c⁷
To Find : value of the expression when x is 2, y is 3, and c is -2
Solution:
expression x³yc⁸/x²y²c⁷
xᵃ/xᵇ = xᵃ⁻ᵇ
aⁿ = 1/a⁻ⁿ or a⁻ⁿ = 1/aⁿ
x³yc⁸/x²y²c⁷
= x³y¹c⁸/x²y²c⁷
= x³⁻².c⁸⁻⁷/y²⁻¹
= x¹.c¹/y¹
= xc/y
Substitute x = 2 , y = 3 and c = - 2
= 2(-2)/3
= - 4/3
None of the given option is correct
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