Exponentiation - practice problems - page 3 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
- Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest? - LCM of polynomials
Find the lcm of 4x³ + 8x² and 5x² -20 - Radioactive 74344
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago. - Seven segments display
Electronic devices sometimes use the type of digits below, where each digit uses some short stripes. For example, seven uses three small stripes. What is the largest three-digit number that you can make if you use twenty stripes?
- Indoor aquarium
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-shaped. Find the following: 1. If the aquarium's height is x, then find the area of the base ( - Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. 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 deposit each quar - Mr. Cruz Mr. Cruz borrowed 21,600 euros for three years at 16 2⁄3% compounded annually. At the same time, Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same interest rate. 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
Evaluate: (1−(56)/12×16)÷((52−23)÷2)
- 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 three years. - A town
A town has a population of 18000 and grows by 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 Wendy deposits R6500 into an account, paying 8% annual interest compounded monthly. How much money will be in her account after 84 months of 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 ten 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 last deposit, he wi
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