Question

Evaluate: (-2)⁶ ÷ (-2)⁹

Answer 1

Answer:

1/(-8)

Step-by-step explanation:

(-2)^6 ÷ (-2)^9

= (-2)^6-9 ( b^b ÷ b^a = b^b-a)

= (-2)^-3

= (1/(-2)) ^3 (a^-b = 1/a^b)

= 1/(-8) (in simplified form)

Hope it helps you!

Answer 2

Answer:

-1/8

Step-by-step explanation:

We know that, when there are same base and when they are divided, the powers subtract, so accordingly :

(-2)⁶ ÷ (-2)⁹

$= {( - 2)}^{6 - 9}\\= {( - 2)}^{ - 3}$

Now, since the power is in minus, so we need to take Reciprocal to make the power positive:

$= \frac{1}{ { (- 2)}^{3} }$

$= - \frac{1}{8}$

Hope this is Helpful!