Find the value of x for which 5 by 3 raise to power minus 4 x 5 by 3 r

1.	Find the value of x for which 5 by 3 raise to power minus 4 x 5 by 3 raise to power minus 5 is equal to 5 by 3 raise to power 3 x
Answer» ( 5/3 )^-4 × ( 5/3 )^-5 = ( 5/3 )^3X ************************************ By exponential laws : 1 ) a^m × a^N = a^m+n 2 ) If a^m = a^n then m = n ******************************* ( 5/3 )^-4-5 = ( 5/3 )^3x ( 5/3 )^-9 = ( 5/3 )^3x -9 = 3x -9/3 = x -3 = x Therefore , x = -3 I hope this helps you. : )

Find the value of x for which 5 by 3 raise to power minus 4 x 5 by 3 raise to power minus 5 is equal to 5 by 3 raise to power 3 x

Answer»

( 5/3 )^-4 × ( 5/3 )^-5 = ( 5/3 )^3X

**************************************

By exponential laws :

1 ) a^m × a^N = a^m+n

2 ) If a^m = a^n then m = n

*********************************

( 5/3 )^-4-5 = ( 5/3 )^3x

( 5/3 )^-9 = ( 5/3 )^3x

-9 = 3x

-9/3 = x

-3 = x

Therefore ,

x = -3

I hope this helps you.

: )