+0  
 
0
6440
5
avatar+194 

Simplify the expression. Write your answer as a power.

((−3/4)^5)^2

 May 14, 2016
 #1
avatar
0

Simplify the following:
(((-3)/4)^5)^2

 

Multiply exponents. (((-3)/4)^5)^2 = ((-3)/4)^(5×2):
((-3)/4)^(5×2)

 

5×2  =  10:
((-3)/4)^10

 

((-3)/4)^10 = (-3)^10/4^10:
(-3)^10/4^10

 

(-3)^10  =  (-1)^10×3^10  =  1×3^10:
3^10/4^10

 

4^10 = (4^5)^2 = (4×4^4)^2 = (4 (4^2)^2)^2:
3^10/(4 (4^2)^2)^2

 

4^2 = 16:
3^10/(4×16^2)^2
3^10/(4×256)^2

 

4×256  =  1024:
3^10/1024^2
3^10/1048576
Answer=3^10 / 2^20

 May 14, 2016
 #2
avatar+37150 
0

( (-3/4)^5)^2 = -3/4^(5*2) = -3/4^10      (and since this is a NEGATIVE raised to an EVEN power) = 3/4^10

 May 15, 2016
 #4
avatar+37150 
0

I know what it means when I look at it, but it needs to be written as  (3/4)^10   not 3/4^10

ElectricPavlov  May 15, 2016
 #3
avatar+194 
0

your wrong

 May 15, 2016
 #5
avatar+37150 
0

"you're"   not  'your'

ElectricPavlov  May 15, 2016

2 Online Users

avatar