Exponentiation - practice problems - page 6 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
- Exponential 8360
Solve the exponential equation: 8 raised to x = 40
- Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5?
- The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase?
- Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years.
- Expression: 7974
Number 1 is the value of the expression: a 5-3 b. 22 - 32 c. (2 - 3)² d. 2 - 32 e. 32 - 22
- Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube.
- Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2
- Kilometers 7415
The Earth's distance from the moon is 3,844.10 to the eighth meter. How many kilometers is it?
- Precious metals
From 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, and silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.
- Cube surface and volume
Find the surface of the cube with a volume of 27 dm³.
- Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n?
- Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip
- Notation 7014
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers.
- Jakub
Jakub multiplied 11 times the number 100 by 10 and then divided the result 10 times by 10. What number did he get?
- Last digit
What is the last number of 2016 power of 2017
- Solve: 6632
For n ϵ N solve: 100 = (0.01n)²
- Divisors 6619
Which natural number less than 100 has the largest number of divisors?
- Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Multiply 6257
If we multiply the numbers of the last three pages of the book on pyramids, we get the product 23639616. How many pages does the book have if the last page's number is steam?
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