Answer:
See the attached
Step-by-step explanation:
The solution and filled in Venn diagram is attached
6 kilometers is the greatest,but arranging from greatest to least: 6km, 60m, 600 cm or 6000mm
60 meters = 60 meters * 1km/1000 meters = 0.06 km600 centimeters = 600 cm * 1m/100cm * 1km/1000m = 0.006 km6000 millimeters = 6000mm * 1m/1000mm * 1km/1000m = 0.006km
<span>thus arranging from greatest to least:6km, 60m, 600 cm or 6000mm</span>
Answer:
∛27 = 3
Step-by-step explanation:
A radical is simply a fractional exponent: ![a^{(\frac{m}{n})} = \sqrt[n]{a^{m} }](https://tex.z-dn.net/?f=a%5E%7B%28%5Cfrac%7Bm%7D%7Bn%7D%29%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%20%7D)
Hence, ∛27 = 
Since 27 = 3³, then:
You could rewrite ∛27 as ∛(3)³.
![\sqrt[3]{3^{(3)} } = 3^{[(3)*(\frac{1}{3})]}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B3%5E%7B%283%29%7D%20%7D%20%3D%203%5E%7B%5B%283%29%2A%28%5Cfrac%7B1%7D%7B3%7D%29%5D%7D)
Multiplying the fractional exponents (3 × 1/3) will result in 1 (because 3 is the <u><em>multiplicative inverse</em></u> of 1/3). The multiplicative inverse of a number is defined as a number which when multiplied by the original number gives the product as 1.
Therefore, ∛27 = 3.