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

The expression which is equivalent to the provided expression of variable x is,

$\dfrac{1}{1000x^3}$

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expression in the problem is,

$(10x)-3$

Let the equivalent expression of this expression is f(x). Thus,

$f(x)=(10x)^{-3}$

The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,

$f(x)=\dfrac{1}{(10x)^{3}}$

Solve it further as,

$f(x)=\dfrac{1}{(10)^3(x)^{3}}\\f(x)=\dfrac{1}{1000x^3}$

Hence, the expression which is equivalent to the provided expression of variable x is,

$\dfrac{1}{1000x^3}$

Learn more about the equivalent expression here;

brainly.com/question/2972832