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STatiana [176]
3 years ago
13

2^5/4=2^5/2^a=2^b=c please help

Mathematics
1 answer:
Rudiy273 years ago
6 0
You just need to equate the expressions to find the values for a,b and c. First, let's settle that 2^5/4=8, and 8 is 2^3. Also, an important tool here is the indicie rule:
\frac{ a^{m} }{ a^{n} } = a^{m-n}
1st expression: 2^5/4=8
2nd expression: It tells us that 2^5/2^a=2^3 (I know that this equals to 8 as all the expressions are equal therefore is the same as our first expression). Using the indicie law, this means that a=2
3rd expression: 2^b must equal to 8 as well, so b=3
4th expression: c=8 as all of the other expressions we have figured out equal to 8 
So a=2, b=3 and c=8
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