Question

(37^2 - 12^2)^n/5^2n+1 умножить на 7^2n-1

Answer 1

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Answer 2

I'm assuming you want me to simplify the expression:

(37^2 - 12^2)^n/5^(2n+1) * 7^(2n-1)

Let's start by simplifying the term inside the parentheses:

(37^2 - 12^2) = (1369 - 144) = 1225

So we can rewrite the expression as:

(1225)^n/5^(2n+1) * 7^(2n-1)

Now let's use some exponent rules to simplify this further:

(1225)^n = (5^2*7^2)^n = 5^(2n)*7^(2n)

So the expression becomes:

5^(2n)*7^(2n)/5^(2n+1)*7^(2n-1)

Now we can simplify the fractions by subtracting the exponents:

5^(2n-2)/5 = 5^(2n-3)

7^(2n)/7 = 7^(2n-1)

So the final simplified expression is:

5^(2n-3)*7^(2n-1)