What is the value of (StartFraction 3 Over 10 EndFraction) cubed? a. StartFraction 3 Over 1000 EndFraction b. StartFraction 27 Over 1000 EndFraction c. StartFraction 9 Over 10 E…

Question

asked Apr 24, 2021 86.4k views

2 Answers

Ohumeronen · Answer 1 · 2021-04-28T11:57:48+0000

Given:

The given expression is
$\left((3)/(10)\right)^(3)$

We need to determine the value of the given expression.

Value of the expression:

Let us determine the value of the expression.

The value of the expression can be determined by simplifying the given expression.

Applying the exponent rule,
$\left((a)/(b)\right)^(c)=(a^(c))/(b^(c))$ , we get;

$\left((3)/(10)\right)^(3)=(3^(3))/(10^(3))$

Since, the value of 3³ is 27 and the value of 10³ is 1000, substituting these values, we get;

(27)/(1000)

Hence, the value of the expression is
(27)/(1000)

Thus, Option b is the correct answer.