Question

Which expression is equivalent to (10x)–3? StartFraction 10 Over x cubed EndFraction StartFraction 1000 Over x cubed EndFraction StartFraction 1 Over 1000 x cubed EndFraction StartFraction 1 Over 10 x cubed EndFraction

Answer 1

Answer:

$\frac{1}{{1000x^3}}$.

Step-by-step explanation:

You are trying to find $(10x)^{-3}$.

When a number has a negative exponent, that means that the number becomes a fraction. That sounds confusing, so let me show you what that would be...

$\frac{1}{(10x)^{3} }$

And since the 10x is being raised to the third power, it is the same thing as saying 10^3 * x^3. So, you would have...

$\frac{1}{{10^3x^3}}$

= $\frac{1}{{10 * 10 * 10 * x^3}}$

= $\frac{1}{{1000x^3}}$

And that's your answer!

Hope this helps!