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On a piano, the formula to determine the frequency of any pitch relative to the A above middle C (A440) is given by
the expression 1ž, where x represents the the number of half-steps above or below A440. Which of the
Rx) - 440(2)
following is equivalent to 1x)?
440. xV212
O 440-12122
440•'97
440• */212
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Sagot :

Using exponential properties, it is found that the equivalent expression to the frequency of any pitch is given by:

[tex]f = 440\sqrt[12]{2^{10}}[/tex]

How to transform an exponent to a power?

It happens according to the following rule, with the denominator as the root and the numerator as the exponent:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

The rule for the frequency is given by:

[tex]f = 440(2)^{\frac{10}{12}}[/tex]

Hence the equivalent expression to f is given by:

[tex]f = 440\sqrt[12]{2^{10}}[/tex]

More can be learned about transformation of an exponent to a power at brainly.com/question/2020414

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