Question

Which expression is equivalent to 6–3?

Answer 1

Answer:

Option D.

Step-by-step explanation:

The given expression is

$6^{-3}$

We need to find an expression which is equivalent to the given expression.

Using properties of exponents, we get

$6^{-3}=\dfrac{1}{6^3}$   $[\because a^{-n}=\dfrac{1}{a^n}]$

It can be written as

$6^{-3}=\dfrac{1^3}{6^3}$   $[\because \dfrac{m^a}{n^a}=\left(\dfrac{m}{n}\right)^a]$

$6^{-3}=\left(\dfrac{1}{6}\right)^3$

So, the expression "(One-sixth) cubed" is equivalent to the given expression.

Therefore, the correct option is D.