Question

Which of the following expressions are equivalent to 6^-3?

Answer 1

Answer:

option A  and D

Step-by-step explanation:

the given expression is $6^{-3}$

To remove negative sign from exponent we apply a property

$a^{-m} = \frac{1}{a^m}$

$6^{-3} = \frac{1}{6^3}$

6^3 = 6*6*6= 216

So $6^{-3} = \frac{1}{6^3}= \frac{1}{216}$

two options are correct

$\frac{1}{6^3} and \frac{1}{216}$

Answer 2

1/6^3 is also equivalent to 6^-3. It can be reverted back to 1/216. Answers on ed2020 are A. and D.