Question

What is X if 8^-1 *X=(-4)^ -1?​

Answer 1

answer: -2

Step-by-step explanation:

(8^-1)*x = (-4)^-1;

anything power -1 will come to the denominator.

So,

(1/8)*x = (1/-4);

x/8 = 1/-4;

x= 8/-4;

x=-2;

Answer 2

Given,

$(8^{-1})*X=(-4)^{-1}$

To find,

The value of X

Solution,

• $a^{-b}$ can be represented as  $\frac{1}{a^{b} }$

• Similarly, $8^{-1}$ can be represented as  $\frac{1}{8}$  and $(-4)^{-1}$ can be represented as   $\frac{1}{(-4)}$.

Now, we get the equation as-

⇒   (1/8)X=(-1/4)

⇒   X = (-1/4) / (1/8)

⇒   X =  $\frac{-1}{4}$ ÷ $\frac{1}{8}$

⇒   X = $\frac{-1}{4}$  × $\frac{8}{1}$

⇒   X = -2.

Hence, the value of X in $(8^{-1})*X=(-4)^{-1}$  is X = -2.