Exponentiation - practice problems - page 8 of 15

Number of problems found: 284

Power equation
Solve the power equation: 2.1463 = 0.4179x^0.419
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?
Light intensity
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will the beam's intensity be after passing through a ten times stronger plate?
Exponent equation
Solve the equation: (4096^x) · 8! = 161280
Equation value
Determine the value of x in this equation: (0.125^x) · 10⁴ = 5000
Expression value
Specify the value of this expression: (2^-7) · 10¹²
Expression values
Determine the x and y values in the expression: x! · 10^y = 0.0504.
Complex sum
Determine the sum of complex numbers: 2i² + 2i⁴
Value
Find the value of the expression: 6!·10^-3
Exponent value
Determine x if 3^x: 3²996 = 81
Exponent equation
Determine what x equals in the equation: (256^x): 10^-1 = 40
Exponent division
Specify the value of this expression: 2¹⁴:2¹⁸.
Exponent division
Specify the value of this expression: 3⁴:3⁸.
Exponent comparison
How many times is the number 10¹² greater than the number 10^-4?
Exponent value
Determine what y equals in expression (16^y): 5 = 0.4
Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one nines on the third row. Finall
Geometric progression
Determine the seventh GP member if a1 = -3.4, q = 5
Expression - powers
Find the value of the expression: (27^-1) · 9³
Third roots
Determine the sum of the three complex third roots of the number 64 .

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