Exponentiation - practice problems - page 7 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
- Water lilies
Water lilies are growing on the pond, and their number doubles every day. If the whole layer is covered in 12 days, how many days will it take to 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.
- Quadruple 5477 A quadruple number from 2 to 17 is a number?
- Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions. - Exponential equation
Solve for x: (4^x):0,5=2/64.
- Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - Equation: 4386 Solve the power equation: 2.1463 = 0.4179x0.419
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Doubling The message is spreading that each day has doubled the number of people who know about it. All know a message for 20 days. How long known it, eighth people?
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will the beam's intensity be after passing through a ten times stronger plate?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
