Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have
And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)
Answer: this is the steps to working the problem and the answer is 54: 3% means 3 out of each 100. if you have 100 items, 3% is just 3. You need more than 100 times as many (you want 354), so x must be more than 100 * 100, right? 3% of 10.62 is less than 1, and the problem says there are 354 :-)
Step-by-step explanation:
2/3 x (3 - 7/16) = (2/3) * (3+7/16)
= (2/3)*(55/16)
= 55/24
= 2.2917
0.6 x 3.43
= 2.058
The first answer is greater than the second.
Answer: 2/3 x 3-7/16 is larger.
What we know:
Mrs Lemke has a total of 10 2/3 oz of fertilizer
3/4 oz fertilizer per plant
What we need to find is left over fertilizer after equally distributing as much 3/4 oz of fertilizer per plant.
10 2/3 oz must be divided into groups of 3/4 oz
Those groups will show how many plants can be fertilized with each receiving 3/4 oz of fertilizer and the remainder will be the left over fertilizer in ounces we need to find.
First we must change 10 2/3 into an improper fraction of 32/3.
Now, we divide 32/3 by 3/4.
(32/3)/(3/4)=(32/3)x(4/3)
(32x4)/(3x3)=128/9
128/9 equals to 14 with a remainder of 2/9
That means Mrs Lemke can fertilize 14 plants with 3/4 oz of fertilizer each and have left over of 2/9 ounces.
Your answer is the remainder which is 2/9 ounces.
3 hours and 15 minutes equals to 3,25 hours. Distance equals the product of the time by the speed which is 3,25x68=221.
A car traveling at 68 miles per hour travels 221 miles in three hours and 15 minutes.
