Following the generalized form that you wrote, you know that a negative exponent sends its base to the denominator (or numerator if it's in the denominator already). Or to put it formally as you wrote it, for any nonzero real number a and natural number n, <span>the negative rule of exponents states that </span>
![a^{-n} = \frac{1}{a^n}](https://tex.z-dn.net/?f=a%5E%7B-n%7D%20%3D%20%20%5Cfrac%7B1%7D%7Ba%5En%7D%20)
.
So,
![6^{-2}= \frac{1}{6^{2}} = \frac{1}{36}](https://tex.z-dn.net/?f=6%5E%7B-2%7D%3D%20%5Cfrac%7B1%7D%7B6%5E%7B2%7D%7D%20%3D%20%20%5Cfrac%7B1%7D%7B36%7D%20)
.
From the statement given above, it can be deduced that the measure of the side of the figure is equal to 1 inch. Thus, the scale factor is 1:7. The ratio of their area should be 1:49. To get the area of the smallest figure, we simply divide the given area of the largest figure by 49, giving us the answer which is equal to 12 in².
Answer:
-3
Step-by-step explanation:
1. 8+8=16
15+15=30
30+16=46-perimeter
15*8=120-area
2.well the slope is 3/4 but i don't know the distance
3.y(13, -6)
Answer:
6
Step-by-step explanation:
Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.
18 ÷ 12 = 1 r 6
12 ÷ 6 = 2 r 0 . . . . the GCF is 6
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You can also factor the numbers and see what the common factors are.
18 = 2·3·3
12 = 2·2·3
The common factors are 2·3 = 6.
In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6