Exponentiation - practice problems - page 5 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
- All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs. - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Entrepreneur 22941
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate the amount on the deposit account after three years. - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
- Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power. - Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5. - Mathematically 18423
Mathematically write the sum of the squares of the numbers 7 and -3, calculate - Original 18203
There is a cube with an edge. How long must the cube's edge be in which the volume should be twice the volume of the original cube? - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?
- Mortage hypo loan
The Jonáš family decided to buy an older apartment, which cost EUR 30,000. They found EUR 17,000 and took a bank loan for the remaining amount. What interest did they receive if they repaid this amount for 15 years at EUR 120 per month? - Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in a ratio of 5:3. Find its side lengths. - Before yesterday
The merchant adds a sale sign in his shop window to the pair of shoes shown in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the - Compound interest 3 After eight years, what is the total amount of a compound interest investment of $25,000 at 3% interest, compounded quarterly? (interest is now a dream - in the year 2019)
- Divide 8
Divide 6840 by x, y, and z in such a way that x has twice as much as y, who has half as much as z - The tickets
The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
