Exponentiation - math word problems - page 10 of 15

Number of problems found: 284

Number value
25% of the number x equals 2^-1. What is the value of x?
Rectangle perimeter
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
Unknown number x
5% from an unknown number equals the number 2⁶. What is the unknown number?
Evaluation
What is the result of the example (81¹/4): 4?
Square root puzzle
Peter had a number in mind and said: When I divide this unknown number by the square root of 27 and then multiply by three, I get an unknown number. What number did Peter think?
Expression value
Find the value of the expression 9^x / 4y if x = 0.5 and y = 2.25.
Expression value
Specify the value of the expression: 1^-4:2^-3
Expression value
Express the value of y in the expression: y / 9^(- 1) = 72
Root relationship
Dana and Julka's numbers are different. Dana's number represents the eleventh root of Julkin's number. The sum of their numbers is 2050. Determine what number Dana has and what Julka has.
Exponent value
Determine x if 27^x = 1/3
Unknown number 17
Milada said, I am thinking of a number such that I evaluate expression x¹/3; the expression's value would be 5. Which number is Milada thinking?
Two girl's numbers
Dagmar and Julka had numbers. Dagmar's number was equal to the square root of Julka's number. The sum of Dagmar's and Julka's numbers equals 84. Find what number Dagmar and Julka had.
Exponent division
Determine the result of the example: 9²:3^{- 4}
Quotient
Determine the quotient and the second member of the geometric progression where a3=10, a1+a2=-1.6, and a1-a2=2.4.
Exponent division
Determine the result: 3³:3⁴
Real roots
Determine the real root of the equation: x^-3: x^-8 = 32
Unknown number 7
Calculate an unknown number whose 12th power, when divided by the 9th power, gets a number 27 times greater than the unknown number. Determine the unknown number.
Unknown number
I think number. If I subtract from the twelfth square the ninth square, I get a number 27 times greater than the intended number. What is this unknown number?
Eight palm
There grow eight palms by the sea. At the first sitting, one parrot, on the second two, on the third sits four parrots on each other, twice the previous parrots sitting on a previous palm. How many parrots are sitting on the eighth palm?

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