Question

find the value of x for (-4/9) ^-4 (-4/9) ^-5 = (-4/9) ^3x​

Answer 1

Answer:

x is -3

Step-by-step explanation:

(-4/9)⁻⁴ x (-4/9)⁻⁵  = (-4/9)³ˣ

(-4/9)⁽⁻⁴⁺⁽⁻⁵⁾⁾ = (-4/9)³ˣ

(-4/9)⁽⁻⁴⁻⁵⁾ = (-4/9)³ˣ

(-4/9)⁻⁹ = (-4/9)³ˣ

if base are same then their power will also same. So,

3x = -9

x = -9/3

x = -3