Answer:
1. 
2. 
3. 
4. ![40^{\frac{2}{3}}=4\sqrt[3]{25} =4325](https://tex.z-dn.net/?f=40%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D4%5Csqrt%5B3%5D%7B25%7D%20%3D4325)
5. Step 4: 
6. 
Step-by-step explanation:
Use the following properties:
![a^{\frac{x}{y} } =\sqrt[x]{a^{y} }](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%5Csqrt%5Bx%5D%7Ba%5E%7By%7D%20%7D)
![\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bab%7D%20%3D%5Csqrt%5Bn%5D%7Ba%7D%20%5Csqrt%5Bn%5D%7Bb%7D)




So:
1. ![27^{\frac{2}{3} } =\sqrt[3]{27^{2}} =\sqrt[3]{729} }=9](https://tex.z-dn.net/?f=27%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B27%5E%7B2%7D%7D%20%3D%5Csqrt%5B3%5D%7B729%7D%20%7D%3D9)
2. 
3. ![(-243)^{\frac{3}{5} } =\sqrt[5]{-243^{3} } =\sqrt[5]{-14348907} =-27](https://tex.z-dn.net/?f=%28-243%29%5E%7B%5Cfrac%7B3%7D%7B5%7D%20%7D%20%3D%5Csqrt%5B5%5D%7B-243%5E%7B3%7D%20%7D%20%3D%5Csqrt%5B5%5D%7B-14348907%7D%20%3D-27)
4. ![40^{\frac{2}{3}}=\sqrt[3]{40^{2} } =\sqrt[3]{2^{6} 5^{2} } =\sqrt[3]{2^{6} } \sqrt[3]{5^{2} } =2^{\frac{6}{3} } 5^{\frac{2}{3} } =4 *5^{\frac{2}{3} } =4\sqrt[3]{5^{2} } =4\sqrt[3]{25}=4325](https://tex.z-dn.net/?f=40%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%3D%5Csqrt%5B3%5D%7B40%5E%7B2%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B2%5E%7B6%7D%205%5E%7B2%7D%20%7D%20%3D%5Csqrt%5B3%5D%7B2%5E%7B6%7D%20%7D%20%5Csqrt%5B3%5D%7B5%5E%7B2%7D%20%7D%20%3D2%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%205%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%3D4%20%2A5%5E%7B%5Cfrac%7B2%7D%7B3%7D%20%7D%20%3D4%5Csqrt%5B3%5D%7B5%5E%7B2%7D%20%7D%20%3D4%5Csqrt%5B3%5D%7B25%7D%3D4325)
5. 
6.
![(-8c^{9} d^{-3} )^{\frac{1}{3} } *(6c^{-1}d^{4})^{2} =\sqrt[3]{-8} c^{3} d^{-1} 36c^{-2} d^{8} \\\\-2c^{3} d^{-1} 36c^{-2} d^{8}=-72cd^{7}](https://tex.z-dn.net/?f=%28-8c%5E%7B9%7D%20d%5E%7B-3%7D%20%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%2A%286c%5E%7B-1%7Dd%5E%7B4%7D%29%5E%7B2%7D%20%3D%5Csqrt%5B3%5D%7B-8%7D%20c%5E%7B3%7D%20d%5E%7B-1%7D%2036c%5E%7B-2%7D%20d%5E%7B8%7D%20%5C%5C%5C%5C-2c%5E%7B3%7D%20d%5E%7B-1%7D%2036c%5E%7B-2%7D%20d%5E%7B8%7D%3D-72cd%5E%7B7%7D)
It is B because 52 • 53 is 2756 which is greater than 55
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3
12 = <em>$36</em>
Taxi 2 charges = 1.77
1.61 = $2.85 per mile
Charges for 12 miles = 2.85
12 = <em>$34.20</em>
<em></em>
Therefore, the answer is:
<em>A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.</em>
A)
10.00 - 3.55 = 6.45 back
a $5 bill and a $1 dollar bill = $6
a quarter and 2 dimes = 0.45
so 2 bills and 3 coins
B) 120 x 4 = 480 minutes
480/60 = 8 hours