Answer:
The value of a = 8.
The value of b = 2.
Step-by-step explanation:
Given:
where, x = -2
![$ x^{-10} = (-2)^{-10} $](https://tex.z-dn.net/?f=%24%20x%5E%7B-10%7D%20%3D%20%28-2%29%5E%7B-10%7D%20%24)
Since, the power is even (10), the resultant will be a positive number.
So, we have:
![$ \sqrt[3]{(-2)^{-10}} = \sqrt[3]{2^{10}} $](https://tex.z-dn.net/?f=%24%20%5Csqrt%5B3%5D%7B%28-2%29%5E%7B-10%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E%7B10%7D%7D%20%24)
Note that: ![$ \sqrt[a]{x} = x^{\frac{1}{a}} $](https://tex.z-dn.net/?f=%24%20%5Csqrt%5Ba%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7Ba%7D%7D%20%24)
Also, ![$ x^a . x^b = x^{a + b} $](https://tex.z-dn.net/?f=%24%20x%5Ea%20.%20x%5Eb%20%3D%20x%5E%7Ba%20%2B%20b%7D%20%24)
Therefore, we get:
![$ \sqrt[3]{2^{10}} = 2^{\frac{10}{3}} $](https://tex.z-dn.net/?f=%24%20%5Csqrt%5B3%5D%7B2%5E%7B10%7D%7D%20%3D%202%5E%7B%5Cfrac%7B10%7D%7B3%7D%7D%20%24)
![$ = 2^{\frac{9 + 1}{3}} $](https://tex.z-dn.net/?f=%24%20%3D%202%5E%7B%5Cfrac%7B9%20%2B%201%7D%7B3%7D%7D%20%24)
![$ = 2^{\frac{9}{3}} . 2^{\frac{1}{3}} $](https://tex.z-dn.net/?f=%24%20%3D%202%5E%7B%5Cfrac%7B9%7D%7B3%7D%7D%20.%202%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%20%24)
![$ = 2^3 . \sqrt[3]{2} $](https://tex.z-dn.net/?f=%24%20%3D%202%5E3%20.%20%5Csqrt%5B3%5D%7B2%7D%20%24)
Hence, a = 8; b = 2
Hence, the answer.
Step-by-step explanation:
height (h) = 12
base (b) = 6
Area of parallelogram
= b * h
= 6 * 12
= 72 units squared.
Hope it will help :)❤
Y=2x -3
Slope is positive 2(up 2, right 1)
First point/ y intercept is -3