Can someone help me with two problems about equations? Two of my answers were wrong!
Multiply or divide as indicated.
x^-8 times x^-2
I think that it could be x^10...
Multiply or divide as indicated. Simplify your answer, if possible.
b^3 times b^-3
I think that the answer is b^6..
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hartnn (hartnn):
nopes, both incorrect.
hartnn (hartnn):
\(\huge a^x*a^y=a^{x+y}\)
OpenStudy (zzr0ck3r):
x^a*x^b = x^(a+b)
hartnn (hartnn):
so \(\huge x^{-8}*x^{-2}=x^{-8-2}=??\)
OpenStudy (zzr0ck3r):
hint: b^3*b^(-3) = b^3/b^3
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hero (hero):
I'm used to interpreting negative exponents as inverses of the base times the index.
OpenStudy (anonymous):
ok...
OpenStudy (anonymous):
@hartnn x^-6??
OpenStudy (zzr0ck3r):
what is -8-2?
hartnn (hartnn):
actually -8-2 = -10
so , it will be \(x^{-10}\)
ok?
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OpenStudy (anonymous):
@zzr0ck3r b^6?
OpenStudy (anonymous):
ok
OpenStudy (zzr0ck3r):
what is a/a = b/b= 3/3 = d/d = smiley/smiley = b^3/b^3 = ?
OpenStudy (anonymous):
b^3
OpenStudy (zzr0ck3r):
a/a = b^3?
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OpenStudy (zzr0ck3r):
what is 2/2?
OpenStudy (anonymous):
1
OpenStudy (zzr0ck3r):
what is 76584/76584?
OpenStudy (anonymous):
It's 1...
OpenStudy (zzr0ck3r):
what is a/a?
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OpenStudy (anonymous):
a
OpenStudy (zzr0ck3r):
anything devided by itself is 1
OpenStudy (zzr0ck3r):
so what is b^3/b^3 ?
OpenStudy (anonymous):
1!!!
OpenStudy (zzr0ck3r):
correct
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