The answer to the given equation is -22 if the equation is 10[tex]x^{2}[/tex]y - 2 and 8 if the equation is 10[tex]x^{2y}[/tex] - 2.
Since the question is not clear, the equation has been assumed in two cases.
The given equation is:
Case1.
- 10[tex]x^{2}[/tex]y - 2
Case2.
- 10[tex]x^{2y}[/tex] - 2
We are to Evaluate the value of the equation when x = -1 and y = -2.
Case1.
10[tex]x^{2}[/tex]y - 2
Putting x = -1 and y = -2
we have,
= 10 x [tex](-1)^{2}[/tex] x (-2) - 2
= 10 x 1 x (-2) - 2
= -20 - 2
= -22
Case2.
10[tex]x^{2y}[/tex] - 2
Putting x = -1 and y = -2
we have,
= 10 x [tex](-1)^{2\times-2}[/tex] - 2
= 10 x [tex](-1)^{-4}[/tex] - 2
= 10 x 1 / [tex](-1)^{4}[/tex] - 2
= 10 x 1 x -2
= 10 - 2
= 8
Thus, we have two answers to the equation:
= -22 if the equation is [tex]x^{2}[/tex]y - 2.
= 8 if the equation is [tex]x^{2y}[/tex] - 2.
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