Answer:
Step-by-step explanation:
We have to write 243 as a power of some number.
So, if we factorize 243 we get,
243 = 3 × 3 × 3 × 3 × 3
Therefore, we can write 243 as a power of 3.
No other number can be written in powers of 243 because it do not contain any other factor than 3.
Hence, 243 can be written as :
The expression x-4 will come out to be a negative integer. That means X <em>has to be </em>something that when 4 is taken away from it, the answer is still negative.
Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.
X can be anything less than 4.
Answer:
![1. \quad\dfrac{1}{k^{\frac{2}{3}}}\\\\2. \quad\sqrt[7]{x^5}\\\\3. \quad\dfrac{1}{\sqrt[5]{y^2}}](https://tex.z-dn.net/?f=1.%20%5Cquad%5Cdfrac%7B1%7D%7Bk%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%5C%5C%5C%5C2.%20%5Cquad%5Csqrt%5B7%5D%7Bx%5E5%7D%5C%5C%5C%5C3.%20%5Cquad%5Cdfrac%7B1%7D%7B%5Csqrt%5B5%5D%7By%5E2%7D%7D)
Step-by-step explanation:
The applicable rule is ...
![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
It works both ways, going from radicals to frational exponents and vice versa.
The particular power or root involved can be in either the numerator or the denominator. The transformation applies to the portion of the expression that is the power or root.
Answer:
n = -8
Step-by-step explanation:
5+n/8=4
Subtract 5 from each side
5-5+n/8=4-5
n/8 = -1
Multiply each side by 8
n/8 * 8 = -1 *8
n = -8
7/6π" (or 1.17π"). To find the circumference (therefore the distance the hand travels) you do 2rπ (radius is 7in), which is 14π, then divide it by 12 bc the hand is only moving five minutes (which is simplified to 7/6π). You can't simplify π.
