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

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sandy
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If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink] New post   30 Jul 2018, 09:49
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If \(f(a, b) = a^2b^4\), and \(f(m, n) = 5\), what is the value of \(f(3m, 2n)\)?

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720
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink] New post   31 Jul 2018, 14:20
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Explanation

Plug m and n into the function in place of a and b. If f(m, n) = 5, then:
\(m^2n^4 = 5\)

This cannot be further simplified, so continue to the second part of the problem: plug \(3m\) and \(2n\) into the function for a and b:

\(f(3m, 2n) = (3m)^2(2n)^4 = 9m^2 16n^4 = 144m^2n^4\)

Since \(m^2n^4 = 5\), \(144m^2n^4 = 144(5) = 720\).
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink] New post   19 Dec 2023, 12:30
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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
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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink] New post   07 May 2025, 19:05
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If f(a, b) = a2b4, and f(m, n) = 5, what is the value of f(3 [#permalink]
07 May 2025, 19:05
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