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: 271
- 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 equal 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, and 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 ten and then divided the result ten 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? - One-eighth 6206
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers? - Independent term
Find the term independent of x in the expansion of (4x³+1/2x)8 - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years? - Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Deposited 6059
On January 2nd, 2009, Janko's father deposited €3,000 in the bank's passbook. The bank provides an annual interest of 0.30% for deposits up to €5,000. However, Janko's father collected the money after eight months. What is interest in euros added to it? - Interest 6047
Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros? - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out? - Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
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