Please help will fan and give a medal
What is the value of the expression 7^-3
A. -21
b.-1/343
c.1/343
d.343
btw -3 is a exponet
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OpenStudy (anonymous):
\[7^{-3} = \frac{ 1 }{ 7^{3} }\]
OpenStudy (anonymous):
that's a rule when it comes to negative exponents
OpenStudy (anonymous):
ok thank you but im still confused
OpenStudy (anonymous):
what's confusing you ?
OpenStudy (anonymous):
o ok so the answer is d?
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OpenStudy (anonymous):
im not exactly sure what im confused about but I just took a quiz on it an mad a 60%
OpenStudy (anonymous):
ok
let's say we have 7^ 3
that's 7 x 7 x7 right ?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
okay when you have a negative exponent it's
\[\frac{ 1 }{ 7 x7 x7 }\]
OpenStudy (anonymous):
the xs are meant to be times sorry about that
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OpenStudy (anonymous):
so the answer is 343 because 7*7*7 is 343
OpenStudy (anonymous):
no that answer isn't 343
your question says 7^-3
meaning 7 to the power of negative 3
OpenStudy (anonymous):
o ok
OpenStudy (anonymous):
if your question was 7 to the power of 3 ( as in positive three) the answer would be 343
let me say it in another way
positive exponents :
eg. 3^2 = 3 x 3
negative exponents :
eg. 3^-2 = \[1\div3\div3\]
in other words \[\frac{ 1 }{ 3\times3 }\]
OpenStudy (anonymous):
does that make sense?
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