Simplify each of the following and express the answer in the exponential form : 
Question1.(125)4power\ (5)7power?
Question2.(2)3power*(2)7power*(4)2power?
Question3.(x)4power * (y)4power?
Question4.(9)xpower \ (3)3power?
Question5.(4)7power *(3)0power \(4)3power * (4)4power ?
Question6.(5)6power*(a)7power\(5)2power*(a)3power*(10)0power?
Question7.((3)2power * (9)4power)?
Question8. (-5)7power \ (-5)3power?
Question9.((15)3power)5power?
Question10.(-2\3)8power *(6\5)8power?
Question11.(-9\7)16power*(-9\7)0power?
Question12.(-13\19)21power \ (-13\19)16power ?

Asked by sandeep.kumar.kargwal | 21st Jan, 2021, 09:11: PM

Expert Answer:

begin mathsize 16px style 125 to the power of 4 over 5 to the power of 7
equals open parentheses 5 cubed close parentheses to the power of 4 over 5 to the power of 7....... open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of mn
equals 5 to the power of 12 over 5 to the power of 7
equals 5 to the power of 12 minus 7 end exponent space space......... straight a to the power of straight m divided by straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent
equals 5 to the power of 5 end style
 
 
 
Note: Please ask only one question in a query.

Answered by Yasmeen Khan | 22nd Jan, 2021, 09:36: PM