Question

Simplify (-2)-³ x (-3)-³ x (4)-³ and write the answer in exponential form .​

Answer 1

Step-by-step explanation:

hence the powers are same ...

{(-2)×(-3)×(-4)}^3

={-24}^3

Answer 2

$\huge\mathcal{Answer:}$

$({ - 2})^{ - 3} \times ({ - 3})^{ - 3} \times {(4})^{ - 3}$

Firstly We have to make the power positive And for this we have to reciprocal the base.

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

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

$({4})^{ - 3} = ( \frac{1}{4} ) ^{3}$

$(\frac{ - 1}{2} ) ^{3} \times (\frac{ - 1}{3} ) ^{3} \times (\frac{1}{4} ) ^{3}$

Here,We can see that Power of all bases are same

Here,We can see that Power of all bases are same So, we can take it as common

$(\frac{ - 1}{2} \times \frac{ - 1}{3} \times \frac{1}{4} ) ^{3}$

$( \frac{1}{24} ) ^{3}$