-19/40
-3/8
19/40
Answer: 19/40
Step-by-step explanation: first we need the values in the numerator, so we can multiply in X where you multiply the denominators with numerator of the other value in the equation finally we resolve simple equation between both numerator, so the numerator equations will be.
(-10) * (-3) = 30
(-8) * ( -1) = 8
then we get this values in the numerator
30 + 8 = 38
in the denominator we only need to multiply both values.
(-8) * (-10) = 80
after we divide each result between 2
numerator 38/2 = 19
denominator 80/2 = 40
after this, we can place the numerator and the denominator into the equation and we get the following result
19/40
x over y to the 3rd power
x to the 6th power over y to the 10th power
x6y10
Answer:
Option 3 - x to the 6th power over y to the 10th power
Step-by-step explanation:
Given : Expression x to the 3rd power over y to the 5th power all raised to the 2nd power.
To find : Choose the correct simplification of the expression?
Solution :
Writing the expression in value form,
x to the 3rd power =
y to the 5th power=
x to the 3rd power over y to the 5th power all raised to the 2nd power =
Now applying identity,
Using identity,
In word form, x to the 6th power over y to the 10th power.
Therefore, Option 3 is correct.
–5
–3
–1
The value of x in the solution is -1. Option D
2(3x – 1) ≥ 4x – 6
From the given equation, make 'x' the subject by expanding the brackets
6x - 2 ≥ 4x - 6
Collect like terms
6x -4x ≥ -6 + 2
2x ≥ -4
x ≥ -4/ 2
x ≥ -2
If x ≥ -2, then x = -1
Therefore, the value of x in the solution is -1.Option D
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