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

Question

2 years ago

13

StartFraction 1 Over 1000 x cubed EndFraction StartFraction 1 Over 10 x cubed EndFraction.

1 answer:

Rufina [12.5K] · Answer 1 · 2023-03-07T13:52:42+03:00

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

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

<h3>What is the equivalent expression?</h3>

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(<em>x)</em>. 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;