Exponentiation - practice problems - page 7 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
- Quadruple 5477
A quadruple number from 2 to 17 is a number? - Big number
What is the remainder when dividing 10 by 9 to 47 - 111? - Asymmetric 5407
Find the smallest natural number k for which the number 11 on k is asymmetric. (e.g. 11² = 121) - One million
Write the million number (1000000) using only nine numbers and algebraic operations plus, minus, times, divided, powers, and squares. Find at least three different solutions.
- Exponential equation
Solve for x: (4^x):0,5=2/64. - Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - Equation: 4386
Solve the power equation: 2.1463 = 0.4179x0.419 - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume?
- Doubling
The message is spreading that each day has doubled the number of people who know about it. All know a message for 20 days. How long known it, eighth people? - Intensity 4244
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will be the beam's intensity after passing through a ten times stronger plate? - Equation: 4197
Solve the equation: (4096^x) · 8! = 161280 - Determine 4104
Determine the value of x in this equation: (0.125^x) · 104 = 5000 - Expression: 4100
Specify the value of this expression: (2-7) · 1012
- Expression: 4085
Determine the value of x and y in the expression: x! · 10^y = 0.0504. - Determine 4083
Determine the sum of complex numbers: 2i² + 2i4 - Value
Find the value of the expression: 6!·10-3 - Determine 4056
Determine x if 3^x: 3²996 = 81 - Equation: 4014
Determine what x equals in the equation: (256^x): 10-1 = 40
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