Exponentiation - math word problems - page 13 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
- Machine
The price of the new machine is € 65000. The 12% of residual value is depreciated every year. What will the value of the machine be after 2 years?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero?
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Ray
Light ray loses 1/17 of brightness passing through a glass plate. What is the brightness of the ray after passing through 4 identical plates?
- Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 56 cm, and one of the diagonals is of length 14 cm.
- R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter?
- Interest
Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
- Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
- No. of divisors
How many different divisors have number 13 4 * 2 4?
- Rectangular cuboid
The rectangular cuboid has a surface area 2080 cm², and its dimensions are in the ratio 4:1:5. Find the volume of this rectangular cuboid.
- Events
Event W has the probability of 0.57. What is the probability that the event W occurs in 2, 6, 5 try?
- Motion problem
From Levíc to Košíc, go car at speed 81 km/h. From Košíc to Levíc, go another car at speed 69 km/h. How many minutes before the meeting will be cars 27 km away?
- Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
- Pool
If water flows into the pool through two inlets, it will fill for 20 hours. If the first inlet fills the pool 8 hour longer than the second, how long does it take to fill with two inlets separately?
- Equation
How many real roots have equation x³=x?
- Compare II
Which of the numbers 710 and 107 is greater?
- Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10.
- Power
Number left(sqrt(14 * sqrt[ 4 ] (14)) right) 17 can be written in the form 14^x. Find the value of x.
- Wire
One pull of wire is reduced by its diameter by 14%. What will the wire diameter be with diameter 19 mm over 10 pulls?
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