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Algebra
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OpenStudy (anonymous):
2^5 over 2^3
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OpenStudy (anonymous):
2*2*2*2*2=?
OpenStudy (anonymous):
32/8
OpenStudy (anonymous):
did you try 4
OpenStudy (alexandervonhumboldt2):
2^5*2^3=2^{5-3}=2^?
OpenStudy (anonymous):
so 32/8 is the answer
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OpenStudy (alexandervonhumboldt2):
use power rules:
\[\frac{ a^c }{ a^b }=a^{c-b}\]
OpenStudy (anonymous):
32/8 is fractional form, to simplify, it would just be 4
OpenStudy (anonymous):
did you try 4
OpenStudy (anonymous):
Yes MW.... it is 4
OpenStudy (alekos):
you're supposed to assist
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OpenStudy (anonymous):
(4^3)^5
OpenStudy (alekos):
use the exponent power rule
OpenStudy (anonymous):
4*4*4= what?
OpenStudy (anonymous):
64
OpenStudy (anonymous):
12
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OpenStudy (anonymous):
uhhhh
OpenStudy (anonymous):
not 12 XD first 4*4
OpenStudy (anonymous):
my laptop typing in the wrong thing
OpenStudy (alexandervonhumboldt2):
(4^3)^5=4^15=?
OpenStudy (alexandervonhumboldt2):
use power rule \[(a^b)^c=a^{bc}\]
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OpenStudy (mathstudent55):
You need to know the rules of exponents:
Multiplication Rule: \(a^m \times a^n = a^{m + n} \)
Example: \(5^4 \times 5^3 = 5^{4 + 3} = 5^7\)
Division Rule: \(\dfrac{a^m}{a^n} = a^{m - n}\)
Example: \(\dfrac{3^{15} }{3^9} = 3^{15 - 9} = 3^6\)
Raising a Power to a Power Rule: \((a^m)^n = a^{mn} \)
Example: \((8^6)^3 = 8^{6 \times 3} = 8^{18} \)
Raising a Product to a Power Rule: \((abc)^n = a^nb^nc^n\)
Example: \((3x)^5 = 3^5x^5\)
OpenStudy (anonymous):
\[\frac{ 2^5 }{ 2^3 }= 2^{5-3}=2^{2}=?\]
So what would the answer be @tasha378 ?
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