Given
The equation is in the form

Simplify the above equation
To proof
As given in the question the equation is written in the form

By using the exponent property
when you divide powers with the same base you just have to subtract the exponents. i.e

y is not equal to zero.
Now apply this property to the above equation

As

now put this in the above equation
we get

Hence proved
Answer:
Third option is the right choice.
Step-by-step explanation:
Manipulate the right hand side.

Best Regards!
Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis can be well written as:


Given that:
n = 200
x = 135
Alpha ∝ = 0.05 level of significance
Then;
⇒ 
= 200 × 0.6 × (1 -0.6)
= 200 × 0.6 × 0.4
= 48 ≥ 10
The sample proportion 

= 0.675
The test statistics 


Z = 2.165
The P-value = P(Z > 2.165)
= 1 - P(Z < 2.165)
From the z tables
= 1 - 0.9848
= 0.0152
Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).
Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6