Question

Correct will be brainlis​

Answer 1

Answer:

First solve the number part and take n on other side

Solve it and find n

Then insert value of n in the question

Solve it and find the answer

Step-by-step explanation:

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Answer 2

Answer:

Let's simplify numerator first.

Numerator:

= (5²)^(n+1) × 5^n - (5³)^n

[When power is there to the power, we multiply them]

= {5^2(n+1)} × 5^n - (5^3n)

= {5^(2n+2)} × 5^n - (5^3n)

[When base is same in multiplication, we add the powers]

= {5^(2n+2+n)} - (5^3n)

= {5^(3n+2)} - (5^3n)

[Taking 5^3n as common from both terms]

= (5^3n) (5²-1)

= (5^3n)(25-1)

= (5^3n) (24)

= (5^3n) (2³ × 3)

Thus, we get the simplified expression as:

= (5^3n) (2³ × 3) / {(5^3n) (2³)}

[From numerator and denominator, 5^3n gets cancelled and 2³ gets cancelled]

= 3

Thus, we get the answer as 3.