Exponentiation - math word problems - page 12 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
- Roots
Calculate the square root of these numbers: - Comparing powers
How many times is number 56 larger than number 46? - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism? - Scale
The student drew the cylinder in scale 2:1. How many times is the volume of the cylinder smaller in reality? - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area. - Deposit
If you deposit 719 euros at the beginning of each year, how much money do we have at 1.3% (compound) interest after 9 years? - Future of libraries
You know that thanks to the Internet, electronic communications and the development of online resources on the Internet annually decline, the number of traditional readership by 17%. This deal is the irreversible evolutionary shift from old books from lib
- Sale
If the product was twice price cut by 25%, what percentage was the price cut in total? - JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.18%. How big is a yearly interest? The year has 360 days. - Machine
The price of the new machine is € 65000. Every year is depreciated 12% of residual value. What will be the value of the machine after 2 years? - Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Ray
Light ray loses 1/14 of brightness passing through a glass plate. What is the brightness of the ray after passing through 10 identical plates? - Rhombus
Find the length of the other diagonal and the area of the rhombus. The perimeter of a rhombus is 40 cm, and one of the diagonals is of length 10 cm. - R Trapezium
Rectangular trapezium has bases 21 and 10 and area 92 cm². What is its perimeter? - Interest
Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter. - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
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