Question

Find the value of x if(-2/5)^-3 x (-2/5)^11=(-2/5)^3x+2

Answer 1

Step-by-step explanation:

(-2/5)^-3 × (-2/5)^11 = (-2/5)^3x+2

(-2/5)^-3+11 = (-2/5)^3x+2

(-2/5)^8 = (-2/5)^3x+2

(-2/5)^3x+2 = (-2/5)^8

When bases are equal then powers are also equal

3x+2 = 8

3x= 8-2

3x= 6

x= 6/3

x= 2

Therefore the value of x is 2

HOPE IT HELPS YOU.