Respuesta :

Step-by-step explanation:

[tex]16 {}^{x} = \frac{1}{64} [/tex]

[tex]4 {}^{2x} = 4 {}^{ - 3} [/tex]

[tex]2x = - 3[/tex]

[tex]x = - \frac{3}{2} [/tex]

CoalitionStorm

Answer:

x = -3/2

Step-by-step explanation:

We make both numbers have the same bases.

We know 2^4 = 16 and 2^-6 = 1/64 because a negative exponent means you get the reciprocal of the number.

2^4x = 2^-6

Let exponents equal each other.

4x = -6

x = 6/4 = -3/2

x = -3/2