Exponentiation - math word problems - page 11 of 15

Number of problems found: 288

Unknown number
I think number. If I subtract from the twelfth square the ninth square, I get a number 27 times greater than the intended number. What is this unknown number?
Eight palm
There grow eight palms by the sea. At the first sitting, one parrot, on the second two, on the third sits four parrots on each other, twice the previous parrots sitting on a previous palm. How many parrots are sitting on the eighth palm?
Number power
We have a number. If we divide its fourth power by its square, we get the number 0.25. Find this number.
Positive number
Which positive number equals twice its square?
Side of a square
What is the length of the side of a square when its area is 64 cm square?
Expression substitution
Determine the value of the expression by substituting for the variables a = 5, b = 2, x = 3, y = 1: k = 4ab + 1/2 ab - 14 l = x² + 2xy + y² m = 5b³ - 4b²
Gp - 80
One of the first four members of a geometric progression is 80. Find it if we know that the fourth member is nine times greater than the second.
Beam on platform
A homogeneous wooden beam of length 6.00 m and mass 72.0 kg lies on a horizontal platform high above the ground and overhangs by 1.80 m over the edge of the platform a) Decide whether a person with a mass of 60.0 kg can stand on the overhanging end of the
Unknown number
Determine the unknown number, which doubles its fourth square and is equal to the fifth square.
Gold in seawater
One cubic decimeter of seawater contains 0.000 000 01 grams of gold. How many kilograms of gold is in one cubic kilometer of seawater?
Expressions
Find out value of expressions if a = -1, b =2: x=b - 2a - ab y=a³ - b² - 2ab z=a² b³ - a³ b² w=a + b + a³ - b²
Ski price
The price of skis increased twice from May to December, always by 20%. In December, the skis cost 1440 SKK. What was the original price in May?
Cube edge
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm.
Probability of connection with repeated attempts
A secretary at company A is calling the switchboard at company B during peak phone line traffic, when the probability that the line will not be busy is 0.25. She repeats individual connection attempts every few minutes until she is connected to the switch
GP - 8 items
Determine the first eight members of a geometric progression if a₉=512, q=2
Sequence member
Determine the fifth member of the sequence if a₁ = -32, q = 21
Dice probability
We throw a die seven times. What is the probability that: a) the first, second, and third times fall six and not in all the others, b) 5 does not fall four times in a row, and yes, in the last 3 hours?
Expression values
Determine the values of the following expressions: a) 3² - (- 4) b) 4-321 c) -32-7
Car mileage
The car drove successively 2.5x10⁵ m, 1.4x10⁷ mm, 8.6x10⁷ dm, and finally 3x10⁶ cm. What is the total mileage?
Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2

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