Exponentiation - practice problems - page 2 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: 271
- Millimeters 82983
Determine what thickness of the shielding material will be required if we reduce the radiation to 3% of the original value if we know that a thickness of 6 mm will reduce the level of the same radiation by 9%. Round up to the whole value in millimeters (t - Written 81992
8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000? - Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - Times 81462
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2
- Probability 81395
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction. - GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81] - A Petri
A Petri dish contains 35 cells. Every day, each cell in the Petri dish divides into 2 cells in a process called mitosis. How many cells are there after 14 days? - Expression with powers
Which expression is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power?
- A vendor 3
A vendor borrowed PHP 150,000 from their cooperative. The rate of interest was 11.5% a year. How much interest does he pay to the bank at the end of one year? - Evaluate 26
Evaluate square root: √1³+2³+3³+4³= - 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 shape. Find the following: 1. If the aquarium's height is x, then find the area of the base (B - 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
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