Exponentiation - practice problems - page 9 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
- Expression: 3865
What is the value of this expression: (0.640.5): 4
- Determine 3861
Determine the value of f: 0.49^f = 0.7
- Exponential 3858
Determine m (solve the exponential equation - unknown in the exponent): 0.25 μm = 0.5
- Four-thirds 3852
Anton said: I have a natural number x. I'll get three times as much if I increase it to four-thirds. What number did Anton mean?
- Determine 3841
Determine the value of x: 2^x = (2-3): 2
- Determine 3840
Find z if 12^z = 1/144
- Natural 3838
Find a natural number whose square root is 27 times its square root.
- Determine 3821
Determine y: 32^y = 2
- One-fourth 3820
Darius said to Miloš: I think a number. If I square it to one-fourth and then multiply it by 3, I get its square root. Find the unknown number that is greater than zero and belongs to the set of positive integers.
- Infinitely 3818
We have 2 numbers. If we multiplied the first number's third root by the second number's square root, we would get the number 18. Determine these 2 numbers. Calculate only the integer solution if the problem has infinitely many solutions in the set of rea
- Expression 3815
Determine what number equals z in the expression 3^z = 1/243
- Equals 3812
What is the ratio of 28:2-5 equal?
- Expression 3811
Determine what y equals in the expression 5^y = 1/25
- Expression: 3804
Specify the value of the expression: (10240.1): 9
- Calculate 3803
Calculate the value of y: 3^y = 0.333
- Expression 3801
What is the value of x in the expression 8^x = 1/64
- Number 3780
25% of the number x equals 2-1. What is the value of x?
- Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm².
- Exponential equation
Find x, if 625^x = 5 The equation is exponential because the unknown is in the exponential power of 625
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