Answer:
Option B. m⁷/n² is the correct answer.
Step-by-step explanation:
Identity,
xᵃ * xᵇ = xᵃ⁺ᵇ
xᵃ/xᵇ = xᵃ⁻ᵇ
x⁻ᵃ = 1/xᵃ
It is given that,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹
Using these three identities we can write,
m⁻⁶ n⁻³/m⁻¹³ n⁻¹ = m⁻⁶ m¹³/n⁻¹n³ (since x⁻ᵃ = 1/xᵃ)
m⁻⁶ m¹³/n⁻¹n³ =m⁽⁻⁶⁺¹³⁾/n⁽⁻¹⁺³⁾ = m⁷/n² (since xᵃ * xᵇ = xᵃ⁺ᵇ and xᵃ/xᵇ = xᵃ⁻ᵇ)
Therefore Option B. m⁷/n² is the correct answer
You have the correct answer. It is choice B) -1/4
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Explanation:
This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.
- term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
- term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
- term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
- term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2
and so on.
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To find the common difference, all we have to do is subtract any term from its previous one.
For example:
d = (term2) - (term1)
d = (1/4) - (1/2)
d = (1/4) - (2/4)
d = (1-2)/4
d = -1/4
The order of subtraction matters, so we cannot say d = term1-term2.
It will be secx = 2
or, cosx = 1/2
or x = Π/3 , 5Π/3
It would be 3.25 because you can’t round 0.001 up
