Question

Help!!! I don’t know!

Answer 1

Answer:
`2^4`

This is the same as writing 2^4

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Step-by-step explanation:

The four copies of "2" in the denominator pair up with four copies of "2" in the numerator. Those pairs cancel out as shown below.

We're left with 4 copies of 2 multiplied together, which means:

`2*2*2*2 = 2^4`

The exponent of 4 tells us how many copies of the base (2) are multiplied together.

Other examples:

`5^3 = 5*5*5`

`7^2 = 7*7`

`10^4 = 10*10*10*10`

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Another approach:

We have 8 copies of "2" in the numerator. So the numerator condenses to
`2^8` while the denominator turns into
`2^4`

Then we use the exponent rule of
`(a^b)/(a^c) = a^(b-c)` to say the following

`(2^8)/(2^4) = 2^(8-4) = 2^4`

Basically you subtract exponents. This rule only works when the bases are the same.