<u>L</u><u>a</u><u>w</u><u> </u><u>o</u><u>f</u><u> </u><u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u>
![\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7Ba%7D%5E%7B%20-%20n%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20%7D)
Compare the terms.
![\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7Ba%7D%5E%7B%20-%20n%7D%20%20%3D%20%20%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%7D)
Therefore, a = -2 and n = 3. From the law of exponent above, we receive:
![\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B%28%20-%202%29%7D%5E%7B%203%7D%20%7D%20%7D)
<u>E</u><u>x</u><u>p</u><u>o</u><u>n</u><u>e</u><u>n</u><u>t</u><u> </u><u>D</u><u>e</u><u>f</u><u>.</u> (For cubic)
![\displaystyle \large{ {a}^{3} = a \times a \times a }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7Ba%7D%5E%7B3%7D%20%20%3D%20a%20%5Ctimes%20a%20%5Ctimes%20a%20%7D)
Factor (-2)^3 out.
![\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%28%20-%202%29%20%5Ctimes%20%28%20-%202%29%20%5Ctimes%20%28%20-%202%29%7D%7D)
(-2) • (-2) = 4 | Negative × Negative = Positive.
![\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%20%5Ctimes%20%28%20-%202%29%7D%7D)
4 • (-2) = -8 | Negative Multiply Positive = Negative.
![\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%20-%208%7D%7D)
If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.
Hence,
![\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%20%5Cboxed%7B%20%7B%28%20-%202%29%7D%5E%7B%20-%203%7D%20%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B%20%208%7D%7D)
The answer is - 1 / 8
A) 55 people said their favorite vehicle color is red
B) 80 people said their favorite vehicle color was blue while 60 people said their favorite vehicle color was white
C) 45 said their favorite vehicle color was black while 10 people said their favorite vehicle color was silver
Answer:
300 times bigger.
Step-by-step explanation:
That would be (1.8 * 10^27 ) / (6 * 10^24)
= 0.3 * (10^27/10^24)
= 0.3 * 10^3
= 3 * 10^2
= 300.
Your balance at the end of June is $985.50 You take the original $500 dollars in the account and add the deposits made.
$500+$250+235.50= $985.50