# Exponentiation + multiplication principle - 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: 8

• Cube construction A 2×2×2 cube is to be constructed using 4 white and 4 black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
• Boys and girls There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that left a) only boys b) just two boys
• Area codes How many 6 digit area codes are possible if the first number can't be zero?
• No. of divisors How many different divisors have number ??
• Events Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
• Subsets How many are all subsets of set ??
• Bits, bytes Calculate how many different numbers can be encoded in 16-bit binary word?
• Morse alphabet Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.

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