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Help!!! I don’t know!

Help!!! I don’t know!-example-1
User Luxspes
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1 Answer

4 votes

Answer:
2^4

This is the same as writing 2^4

==========================================================

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.

Help!!! I don’t know!-example-1
User Frank Fajardo
by
8.4k points

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