# Exponentiation - practice problems

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.#### Number of problems found: 132

- Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - Seventh term

The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term. - What is 14

What is (-2)^{4}× 3^{4}? - Monthly payments 2

Suppose you have selected a new car to purchase for $19,500. If the car can be financed over a period of 4 years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be? - Sq and cube

Find the product of the square of (1/2) and the cube of (2/3) - Future value investment

Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy can go to college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if the - The town

The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years? - Maturity value

IKEA Furniture’s can purchase furniture with 3 year simple interest loan at 8% interest per year. What is the maturity value of 3500 loan? - Two years

Roy deposited 50,000.00 into his account paying 4% annual interest compounded semi annually. How much is the interest after 2 years? - Annual increase

The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%. - If you 3

If you deposit $4500 at 5% annual interest compound quarterly, how much money will be in the account after 10 years? - What is 10

What is the 5th term, if the 8th term is 80 and common ratio r =1/2? - If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r. - Percentage increase

What is the annual percentage increase in the city when the population has tripled in 20 years? - All use computer

It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 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 3 half-lives? - 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 S_{6}= 63. Find the fifth element a_{5}. - 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?

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