Test: The Supreme Powers

What is the value of 2 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷ + 2⁸?

What is the units digit of 1 + 2² + 3³ + 4⁴ + 5⁵?

What is the units digit of 1! + 2! + 3! + 4!?

What is the units digit of 1! + 2! + 3! + 4! + 5! + 6! + 7! + 8! + 9! + 10!?

What is the units digit of (5!)^5!?

What is the units digit for (173)⁴ – 1973^{3^2}, where 3^2 means 3 to the power of 2?

What is the value of 5 + 4*5 + 4*5² + 4*5³ + 4*5⁴ + 4*5⁵?

If x is a positive integer, then the value of (22^22x – 22^2x)/(11^11x – 11^x) is closest to which of the following:

If 4^-x + 4^-x + 4^-x + 4^-x = 1, what is the value of x?

Positive integers x, y, and z satisfy the equations x^-1/2 = 1/3 and y^z = 16. If z > y, what is the value of x + z?

3x² < (3x)²

For what value of x is the statement above false?

If 18√18 = r√t, where r and t are positive integers and r > t, which of the following could be the value of rt?

If a, b, and c are positive integers such that 2^a*2^b*2^c = 64, then 2^a + 2^b + 2^c =

If a, b, and c are positive integers such that 2^a + 2^b + 2^c = 64, which of the following is a possible value for 2^a*2^b*2^c =

If k, n , x, and y are positive integers satisfying x^-4/3 = k^-2 and y^4/3 = n², what is the value of (xy)^-2/3 in terms of n and k?

If x and y are integers such that x² = 64 and y³ = 64, which of the following could be true?

I. x = 8           II. y = -4         III. x + y = -4

If (x – 2)² = 49, which of the following could be the value of x?