What is the missing exponent?
(12^-5)^2 l_____l
----------=12
12^-4
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OpenStudy (anonymous):
@KJSaif
OpenStudy (anonymous):
help
Nnesha (nnesha):
you need to know 2 exponent rules \[\huge\rm (x^m)^n=x^{m \times n}\]
and the 2nd one \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]when we divide same bases we should subtract their exponents
Nnesha (nnesha):
so \[\huge\rm (12^{-5})^2 = ?\]
OpenStudy (anonymous):
61917364224
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Nnesha (nnesha):
use the exponent rule i gave you
don't use calculator .
Nnesha (nnesha):
so \[\huge\rm (12^{-5})^2 = ?\] \[\huge\rm (x^m)^n=x^{m \times n}\]multiply the exponents
OpenStudy (anonymous):
20^?
OpenStudy (anonymous):
i mean 12^?
Nnesha (nnesha):
what are the exponents \[\huge\rm (12^{-5})^2 = ?\]
?
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OpenStudy (anonymous):
|dw:1441998729441:dw|
Nnesha (nnesha):
example \[\huge\rm (2^3)^4=2^{3 \times 4}=2^{12}\]
OpenStudy (anonymous):
so 12 ^2
Nnesha (nnesha):
let's solve the numerator first , look at the example i gave you \[\huge\rm (12^{-5})^2 = ?\]
Nnesha (nnesha):
multiply the 2 with the exponent of -12
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