Question 5 of 6Which exponential expression is equivalent to the one below?(22• (-7))40A. 40 • (22• (-7))O B. (22) • (-7)40C. (2
2)40 + (-7) 40D. (22)40 . (-7)40+SUBMIT
1 answer:
Okay, here we have this:
Considering the provided expression, we are going to analize which exponential expression is equivalent, so we obtain the following:
As the property of the exponent of a multiplication says that it is equal to the product of each number raised to that power. We have this:
Finally we obtain that the correct answer is the option D.
You might be interested in
The equivalent expression to
Equivalent expressions are similar expressions that may have different forms but when a value is replaced with the variables in the same form provides the same answer.
From the information given, If:
- r(x) = 3x - 1
- s(x) = 2x + 1
Then the fractional form can be an expression as:
where;
- x = 6
Learn more about equivalent expressions here:
#SPJ1
Check the picture 1.
The regions contained in an odd number of these 5 circles are
the pink colored region, contained only in the circle with radius 2,
and the yellow regions, each contained in the intersection of 2 small circles and the third large circle.
So what we need to determine is the "area pink + area yellow".
Consider the second picture.
Let A2 be the area of the right isosceles triangle, and A1 be half of the yellow region.
the region A2 + A1 is called a sector, and it is 1/4 of the area of a unit circle.
Thus, the overall yellow region is
The purple area is:
Area of large circle - 4*(Area of 1 small circle) + yellow region.
(because subtracting all 4 small circles means that each of the 4 separate yellow regions have been subtracted twice)
Finally, the total area is :
(units squared)
Answer:
square units
The regions contained in an odd number of these 5 circles are
the pink colored region, contained only in the circle with radius 2,
and the yellow regions, each contained in the intersection of 2 small circles and the third large circle.
So what we need to determine is the "area pink + area yellow".
Consider the second picture.
Let A2 be the area of the right isosceles triangle, and A1 be half of the yellow region.
the region A2 + A1 is called a sector, and it is 1/4 of the area of a unit circle.
Thus, the overall yellow region is
The purple area is:
Area of large circle - 4*(Area of 1 small circle) + yellow region.
(because subtracting all 4 small circles means that each of the 4 separate yellow regions have been subtracted twice)
Finally, the total area is :
Answer: