Mathematics, 28.11.2020 20:00 jayjay7621
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Formula 1 can be written alternatively as formula 2. Use algebra to show your steps how formula 1 can be manipulated to create formula 2.
Formula 1:
Formula 2:
![f(n)=\left\\ ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}\,}](/tpl/images/1957/2771/e7474.png)
Answers: 2
![\displaystyle \sqrt[n]{a^m}=a^{m/n}](/tpl/images/0931/7548/7c41e.png)
![f(n)=\left ({\sqrt[{12}]{2}}\,\right)^{n-49}\times 440\,{\text{Hz}}](/tpl/images/0931/7548/0da28.png)
![f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}](/tpl/images/0931/7548/a686c.png)
![\displaystyle \left ({\sqrt[{12}]{2}}\,\right)^{n-49}=(2)^{\frac{n-49}{12}}](/tpl/images/0931/7548/254d4.png)
![f(n)=440\left ({\sqrt[{12}]{2}}\,\right)^{n-49}=440~(2)^{\frac{n-49}{12}}](/tpl/images/0931/7548/e0390.png)
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Formula 1 can be written alternatively as formula 2. Use algebra to show your steps...
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