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I wanna ask a question, I guess it's easy for most of you but..
a = 8^-2.2^7
b = 4^-3
What is a/b?
I tried to solve it and I guess the answer is 2^-5 But according to our teacher, it's 2^5. Can someone please explain it to me? 

 Nov 18, 2014

Best Answer 

 #7
avatar+23254 
+5

a  =  8^-2 x 2^7 

Since 8 ^ -2  =  1 / 8^2  =  1/64   and   2^7  =  128,   8^-2 x 2^7  =  128/64  =  2

b  = 4^-3  =  1 / 4^3  =  1/64

a/b  =  (2) / (1/64)  =  2 x (64/1)  =  128

So, a/b = 128,    or, as a ratio:  128/1 

 Nov 18, 2014
 #1
avatar+7188 
0

$${\mathtt{a}} = {{\mathtt{8}}}^{{\mathtt{\,-\,}}\left({{\mathtt{2.2}}}^{{\mathtt{7}}}\right)} \Rightarrow {\mathtt{a}} = {\mathtt{0}}$$

$${\mathtt{b}} = {{\mathtt{4}}}^{-{\mathtt{3}}} \Rightarrow {\mathtt{b}} = {\mathtt{0.015\: \!625}}$$

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 Nov 18, 2014
 #2
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0

So sorry I meant 8^-2x2^7, not 8^-2.2^7 

 Nov 18, 2014
 #3
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whoa wait, ((8^-2)*2^7)/2^6

 Nov 18, 2014
 #4
avatar+7188 
0

$${\mathtt{a}} = {\frac{\left(\left({{\mathtt{8}}}^{-{\mathtt{2}}}\right){\mathtt{\,\times\,}}{{\mathtt{2}}}^{{\mathtt{7}}}\right)}{{{\mathtt{2}}}^{{\mathtt{6}}}}} \Rightarrow {\mathtt{a}} = {\mathtt{0.031\: \!25}}$$

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 Nov 18, 2014
 #5
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Thank you! 

 Nov 18, 2014
 #6
avatar+7188 
0

No problem anon!

 Nov 18, 2014
 #7
avatar+23254 
+5
Best Answer

a  =  8^-2 x 2^7 

Since 8 ^ -2  =  1 / 8^2  =  1/64   and   2^7  =  128,   8^-2 x 2^7  =  128/64  =  2

b  = 4^-3  =  1 / 4^3  =  1/64

a/b  =  (2) / (1/64)  =  2 x (64/1)  =  128

So, a/b = 128,    or, as a ratio:  128/1 

geno3141 Nov 18, 2014

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