Question

How do you answer this?

Answer 1

Answer:

x= -3/2

Step-by-step explanation:

((4)²)^x = 1/(4)³

4²^x = 4³

thus the powers are same then

2x =-3

x=-3/2

Answer 2

Answer:

x = - $\frac{3}{2}$

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{-m}$ ⇔ $\frac{1}{a^m}$

Note that 16 = 4² and 64 = 4³ , then

$16^{x}$ = $\frac{1}{64}$ , can be expressed as

$(4^2)^{x}$ = $\frac{1}{4^3}$ , that is

$4^{2x}$ = $4^{-3}$

Since the bases on both sides are equal, then equate the exponents

2x = - 3 ( divide both sides by 2 )

x = - $\frac{3}{2}$