Use the properties of exponents to solve for each variable.

4^8•4^2=4a

(2^4) ^5=2^b

5^6/5^2=5^c

a=

b=

c=

Adam is taking out a $197,000 mortgage. His bank offers him an APR of 4.45%. He wants to compare monthly payments on a 15 - and 30 - year mortgage. What is the difference in the two monthly payments. a) 509.68 b) 365.75 c) 402.58 d) 231.87

What is 0.0394 round to the greatest nonzero place

Janella bought 345 orange beads, then 130 yellow beads. Find the total number of beads she has. Explain what properties you used to find your answer.

20. A linear function is shown. f (x) = (-5/2) x - 3 A. Create a linear function g (x) such that f (x) = g (x) has exactly one solution. B. What is the exact solution to f (x) = g (x) ? Answer A: Answer B:

Identify a, b and c in the equation 2x^2 - 5x + 3 = 0

A plane left chicago at 8:00 A. M. At 1 PM the plane landed in Los Angles, which is 1500 miles away. What is the average speed of the plane for the trip?

The space shuttle can travel about 8*10 to the power of 5 centimeters per second. Is it more appropriate to report this rate as 8*10 to the power of 5 centimeters per second or 8 kilometers per second?

Which set of side lengths form a right triangle? A 14m, 20m, 25m B 10cm, 6cm, 8cm C 7cm, 8cm, 10cm D 3ft, 6ft, 5 ft

A car tire has a radius of 1.5 feet. If the tire is rotating at 800 rpm, what is the speed of the car in miles per hour (1 mile = 5,280 feet) ? Round the answer to the nearest tenth.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Mrs. Walters drove 160 miles on 5 gallons of gas. How many gallons of gas will she need to travel 256 miles?