a burst of electromagnetic radiation has a frequency of 1 exachertz. 1 exahertz equals 1012 megahertz. each megahertz is equal to 106 hertz. what's the frequency of the burst of radiation in hertz?

Answer 1

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Since we know one exahertz equal 1012 megahertz, I can create the following number:

1012 megahertz / 1 exahertz = 1012/1 megahertz/exahertz = 1012 megahertz/extrahertz.

And check out what happens when I take our frequency in exahertz and multiply it by this value.

1 extrahertz * 1012 megahertz/extrahertz = 1012 megahertz

This multiplication cancelled out the extrahertz allowed me to convert to megahertz. It's the same as trying to convert feet to inches. I know that there are 12 inches in one foot. So if I have a two-foot pole, that means I have a 24-inch long pole. It's the same value, just described in two different units of length. Both extrahertz and megahertz are units of frequency, so 1 extrahertz is equal to 1012 megahertz.

We can do the same thing and convert the megahertz to hertz. Let's create our number:

106 hertz / 1 megahertz = 106 hertz/megahertz

And convert our 1012 megahertz to hertz

1012 megahertz * 106 hertz/megahertz = 107,272 hertz