Exponentiation - math word problems - page 11 of 15

Number of problems found: 284

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.
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.
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
Compare:
What is bigger? ...
Cube 6
The volume of the cube is 216 cm³. Calculate its surface area.
Medicine
We test medicine on six patients. For all, the drug doesn't work. If the drug success rate of 20%, what is the probability that medicine does not work?
TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have

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