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Algebra 8 Online
OpenStudy (anonymous):

2^5 over 2^3

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

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

OpenStudy (anonymous):

(4^3)^5

OpenStudy (alekos):

use the exponent power rule

OpenStudy (anonymous):

4*4*4= what?

OpenStudy (anonymous):

64

OpenStudy (anonymous):

12

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 \[(a^b)^c=a^{bc}\]

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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