Why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller

The equation is x^2 + (y+5) ^2=81. find the center and radius

What is the missing step in solving 5-8x<2x+3

A car is traveling at a rate of 128 miles in 2 hours. how many hours will it take the car to travel 768 miles?

Sergio is asked to write one million in scientific notation. He writes 10 6 and gets it wrong. Why was he wrong?

Describe a vectors v = [x y] that are orthogonal to u = [a b]. If u is not the zero vector, then v is a multiple of [a b]. If u is not the zero vector, then v is a multiple of [a - b]. If u is not the zero vector, then v is a multiple of [a - b].

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Evaluate a2+ab-b2+5 when a=2 and b=3

Which statement is the Law of Detachment? If p implies q is a true statement and p is true, then q is true. If p implies q is a true statement and q is true, then p is true. If p implies q is a true statement and q is true, then q is true.

Graduation is 3 years away and you want to have $750 available for a trip. If your bank is offering a 3-year CD (certificate of deposit) paying 2.2% simple interest, how much do you need to put in this CD to have the money for your trip?

Which list of decimal numbers is in ascending order? 0.13, 0.31, 0.04, 0.5 1.411, 1.2, 1.056, 1.007 12.252, 12.26, 12.387, 12.4 6.009, 6.015, 6.241, 6.2