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2 votes
Help am i correct? I need help please give explanation

Help am i correct? I need help please give explanation-example-1
User Davo
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2 Answers

4 votes
Yeah it’s.
Since we are dividing same numbers with different powers, just subtract the power of top number by bottom.

11^(16-3) = 11^13
User Fulv
by
7.8k points
5 votes

Answer: Choice B is correct

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

Reason:

Focus on the numerator for now. The
(11^8)^2 is the same as
11^(16) because we multiply the exponents. The general rule is
(a^b)^c = a^(bc)

Alternatively we can think of it like this


(11^8)^2 = (11^8)(11^8) = 11^(8+8) = 11^(16)

So far we have
((11^8)^2)/(11^3) = (11^(16))/(11^3)

------------

The last step is to subtract exponents due to the rule
(a^b)/(a^c) = a^(b-c) and the order of subtraction is important.

Therefore,
((11^8)^2)/(11^3) = (11^(16))/(11^3) = 11^(16-3) = 11^(13)

User Psionman
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