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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 EndFraction
d. StartFraction 27 Over 10 EndFraction

User Brewal
by
4.8k points

2 Answers

1 vote

Answer:


(27)/(1000)

Explanation:

I got it right on edg. 2020.

User Dheeraj Bhaskar
by
4.7k points
4 votes

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.

User Ohumeronen
by
3.9k points