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If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)?

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Bunuel
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If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   13 Dec 2018, 01:39
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If \(f(a, b) = a^2b^4\), and \(f(m, n) = 5\), what is the value of f(3m, 2n)?

A. 144
B. 180
C. 360
D. 720
E. 780
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D
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ShubhamAjmera95
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   13 Dec 2018, 03:18
f(a, b) =a^2*b^4
f(m, n) =5
Find f(3m, 2n) ???

f(m, n) =m^2*n^4 = 5 (given in the question)....... (1)

f(3m, 2n) = (3m) ^2* (2n) ^4
= (3^2 * 2^4)*[m^2*n^4]
= (9*16) * [f(m, n)]......From (1)

= 9*16*5 (Since, f(m, n) =5)
So, f(3m,2n) = 720....... Ans

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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   13 Dec 2018, 04:17
f(m,n)= m^2 n^4
f(m,n)=5
m^2 n^4 =5
f(3m, 2n) =9m^2 * 16 n^4 =144*5 = 720
Answer D.
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If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   13 Dec 2018, 04:45
Expert Reply

Solution


Given:
    • f(a, b) = \(a^2b^4\)
    • f(m, n) = 5

To find:
    • The value of f(3m, 2n)

Approach and Working:
    • Given f(a, b) = \(a^2b^4\)
    • So, f(m, n) = \(m^2n^4 = 5\)
    • Now, f(3m, 2n) =\((3m)^2 * (2n)^4 = 3^2 * 2^4 * m^2n^4 = 9 * 16 * 5 = 720\)

Hence, the correct answer is Option D


Answer: D
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   28 Sep 2022, 11:58
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Given that \(f(a, b) = a^2b^4\), and \(f(m, n) = 5\) and we need to find the value of f(3m, 2n)

To find f(m, n) we need to compare what is inside the bracket in f(m, n) and f(a,b)

=> We need to substitute a with m and b with n in \(f(a, b) = a^2b^4\) to get the value of f(m, n)

=> \(f(m, n) = m^2n^4\) = 5 given

Similarly, \(f(3m, 2n) = (3m)^2(2n)^4\) = \(3^2 * m^2 *2^4 *n^4\) = 9*16 * \(m^2n^4\) = 9*16*5 = 720

So, Answer will be D
Hope it helps!

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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink] New post   21 Dec 2023, 06:38
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3m, 2n)? [#permalink]
21 Dec 2023, 06:38
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