1. What is the value of this expression? Write your answer without exponents.
6^3 / 6^2 x 6^2 ( <-- the x is there to mean multiplication.)
2. An airplane is flying at a speed of 6,000 meters per mintue. What is this speed in kilometers per hour?
PLEASE SHOW HOW TO SOLVE IT AND THE ANSWER! THANK YOU!
1. 6^3 / 6^2 * 6^2
6^3 / 6^2 = 6^1 since you just have to subtract 3-2 (division of exponents) and that'll be your exponent.
Now, 6^1 * 6^2 = 6^3 since you add 1+2 (multiplication of exponents) and that'll be your exponent.
6^3 = 6*6*6 = 216.
2. 6,000 m/min --> # km/hr
You know that kilo means 1000 so 1 km = 1,000 m & there are 60 mins. in an hour.
So, we divide by 1000 and then multiply by 60: 6,000/1000 = 6; now 6*60 = 360 km/hr.
1. 6^3 / 6^2 * 6^2
6^3 / 6^2 = 6^1 since you just have to subtract 3-2 (division of exponents) and that'll be your exponent.
Now, 6^1 * 6^2 = 6^3 since you add 1+2 (multiplication of exponents) and that'll be your exponent.
6^3 = 6*6*6 = 216.
2. 6,000 m/min --> # km/hr
You know that kilo means 1000 so 1 km = 1,000 m & there are 60 mins. in an hour.
So, we divide by 1000 and then multiply by 60: 6,000/1000 = 6; now 6*60 = 360 km/hr.