Square + third power - practice problems
Number of problems found: 65
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - Determine 3888
Determine the sum of the three-third roots of the number 64. - Evaluate 26
Evaluate square root: √1³+2³+3³+4³=
- Powers
Is it true for any number a,b,c,d equality:? (a-b-c-d) 6 = (d+c+b-a) 6 - Much 37741
How much is half the half the cube half? - Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Natural 39393
What is the sum of all natural numbers less than 100 that are the power of 4? - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers.
- Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power. - Smallest 79434
Find the smallest natural x such that 2x is the square and 3x is the third power of a natural number. - Equation: 3726
Determine the real root of the equation: x^-3: x^-8 = 32 - Times 81462
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- One third power
Which equation justifies why ten to the one-third power equals the cube root of ten? - Smallest z9
Find the smallest positive numbers a and b for which 7a³ = 11b⁵ - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Probability 17013
What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number? - Four-thirds 3852
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean?
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