Don't understand please help with answer

Mathematics

2 answers:

Taya2010 [7]3 years ago

4 0

((-4)^5)^8 / ((-4)^7)^3

= (-4)^40 / (-4)^21

= (-4)^20

anyanavicka [17]3 years ago

4 0

So you need to simplify the two fractions by first simplifying the exponent. this would mean that each deviant has one set of exponent instead of a pair.
thus, -4`40 ÷ -4`21
the two bases are equal.
#4 rule states that when a`n/b`m (fraction). if bases are the same, the exponent of the denominator is subtracted to the exponent of the numerator. assuming a & b are equal, the answer will look like this: (a`(n-m))
so apply this rule to your question. also, it'll be helpful to learn the laws of indices.

final answer: 4`19
NOTE: ` stands for 'the power of`
so in word form your answer is four to the power of nineteen.

Hope this helped :)

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