Exponentiation - practice problemsIf 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, 2^3 is telling you to multiply two by itself three times.
Number of problems found: 235
- Evaluate 26
Evaluate square root: √1³+2³+3³+4³=
- Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after 10 years. What is the amount he needs to invest?
- LCM of polynomials
Find the lcm of 4x³ + 8x² and 5x² -20
- Seven segments display
Electronic devices sometime make use of the type of digits below, where each digit uses a number of short stripes, for examples seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes?
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism shape. Find the following: 1. If the height of the aquarium is x, then find the area of the ba
- Deposit for house
The current price of a house is $300000 with prices increasing by 3% each year. A buyer wishes to purchase the house in 5 years time. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to depos
- Mr. Cruz
Mr. Cruz borrowed 21,600 euros for 3 years at 16 2⁄3% compounded annually. While Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same rate of interest. Who Pays more and how much?
- Describe 11
Describe and correct the error in finding the difference function of (f-g) (x) of f(x) =(x²+3x-1) and g(x) =(x²+x+2) (f-g) (x) =f(x)-g(x) =(x²+3x-1) - (x²+x+2) =x²+3x-1 -x²+x+2 =x²-x²+3x+x-1+2 =4x+1
- Evaluate expression 7
- Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q)
- Compounded monthly
Find the compound amount if Php 150,000.00 is deposited in a bank paying 9% p.a. compounded monthly for 3 years.
- A town
A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?
- MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player?
Wendy deposits R6500 into an account paying 8% annual interest compounded monthly. How much money will be in her account after 84 months paying 8% annual interest compounded continuously?
- Cube-shaped 65084
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long?
- Interest compounded annually
If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after 10 years?
- Right triangle generator
Detective Harry Thomson found on the Internet a generator of the lengths of the sides of right triangles according to which he must apply: a = 2xy, b = x² - y², c = x² + y², where are natural numbers and x & gt; y. Is it a working generator?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Retirement saving
Deryl wishes to save money to provide for his retirement. Beginning one year from now, he will begin depositing the same fixed amount each year for the next 30 years into a retirement savings account. Starting one year after making his final deposit, he w
- Salary increase 2
Each year, Francesca earns a salary that is 2 percent higher than her previous year's salary. In her first 5 years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
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