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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

Respuesta :

Given:

The given expression is [tex]\left(\frac{3}{10}\right)^{3}[/tex]

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, [tex]\left(\frac{a}{b}\right)^{c}=\frac{a^{c}}{b^{c}}[/tex], we get;

[tex]\left(\frac{3}{10}\right)^{3}=\frac{3^{3}}{10^{3}}[/tex]

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

[tex]\frac{27}{1000}[/tex]

Hence, the value of the expression is [tex]\frac{27}{1000}[/tex]

Thus, Option b is the correct answer.

Answer:

[tex]\frac{27}{1000}[/tex]

Step-by-step explanation:

I got it right on edg. 2020.