Question

Help am i correct? I need help please give explanation

Answer 1

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

Answer 2

Answer: Choice B is correct

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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)`

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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)`