Exponentiation - math problems

If n is a positive integer and x is any real number, then x^n corresponds to repeated multiplication x^n=x×x×⋯×x (n times). We can call this “x raised to the power of n,” “x to the power of n,” or simply “x to the n.” Here, x is the base, and n is the exponent or the power.

Number of problems found: 126

Compare:
What is bigger? ...
Value
Find the value of the expression: 6!·10^-3
Powers
Is true for any number a,b,c,d equality:? ?
Power
Number ?. Find the value of x.
Biquadratic
By introducing a new variable solve biquadratic equation: ?
One half
One half of 2⁷⁵ is: ...
Logarithmic equation
Solve equation: log₁₃(7x + 12) = 0
GP - 8 items
Determine the first eight members of a geometric progression if a₉=512, q=2
Binomials
To binomial ? add a number to the resulting trinomial be square of binomial.
Powers
Express the expression ? as the n-th power of the base 10.
Tenth member
Calculate the tenth member of geometric sequence when given: a₁=1/2 and q=2
Five members
Write first 5 members geometric sequence and determine whether it is increasing or decreasing: a₁ = 3 q = -2
Bits, bytes
Calculate how many different numbers can be encoded in 16-bit binary word?
Lottery
The lottery is 60000 elk in which 6200 wins. What is the probability that the purchase of 12 elks won nothing?
Exponential equation
Solve for x: (4^x):0,5=2/64.
Roots
Calculate the square root of these numbers:
Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
Compare II
Which of the numbers 7¹⁰, 10⁷ is greater?
Unknown number
I think number. If subtract from the twelfth square the ninth square I get a number 27 times greater than the intended number. What is this unknown number?
Area codes
How many 6 digit area codes are possible if the first number can't be zero?

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