Exponentiation - practice problems - page 4 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
- Subtract then square
If a = 8, then (5-a)² =
- 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 nine, and the third term is 1296. Find the seventh term.
- What is 14
What is (-2)4× 34?
- Monthly payments 2
Suppose you have selected a new car to purchase for $19,500. If we can finance the car over four 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)
- Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers.
- Regularly 46301
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day?
- Future value investment
Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy could attend 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 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 can purchase furniture with a three-year simple interest loan at 8% interest per year. What is the maturity value of a 3500 loan?
- Two years
Roy deposited 50,000.00 into his account, which pays 4% annual interest compounded semi-annually. How much interest is there after two 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%.
- Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming
- Deposit account
How much money will be in the account after ten years if you deposit $4500 at a quarterly 5% annual interest compound?
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2?
- Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Multiplied 33221
Susan divided 256 by two by two and then multiplied the result by six by 2. What number did she get?
- Calculate 25111
The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½.
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