Exponentiation - math word problems - page 11 of 14
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.Exponents, also known as powers, are values that show how many times to multiply a base number by itself. For example, 23 is telling you to multiply two by itself three times.
Exponents and powers.
Number of problems found: 280
- 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.
- Kilometer 2864
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
- Increased 2472
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?
- Determine 2429
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
- Determine 2388
Determine the fifth member of the sequence if a1 = -32, q = 21
- Probability 2386
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?
- Expressions: 2381
Determine the values of the following expressions: a) 3² - (- 4) b) 4-321 c) -32-7
- Successively 2380
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
- To the cinema
Jane at 8 AM got a message that all 1093 school pupils would go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way, the message spread further. At what time do all the scho
- Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
- Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product).
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