Evaluate. (root(3)(250))/(root(3)(2))=

Understand the problem: Understand the problem. We need to find the value of the cube root of 250 divided by the cube root of 2. This can be written as (250^(1/3))/(2^(1/3)).Simplify the expression: Simplify the expression using the property of exponents that (a/b)^(1/3) = a^(1/3)/b^(1/3). So, (250^(1/3))/(2^(1/3)) = (250/2)^(1/3).Calculate 250/2: Calculate 250/2. 250 divided by 2 equals 125.Find the cube root of 125: Find the cube root of 125. The cube root of 125 is 5 because 5^3 = 125.

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Evaluate. $\newline$ $\frac{\sqrt[3]{250}}{\sqrt[3]{2}}=$

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Algebra 1

Evaluate variable expressions involving integers

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Q. Evaluate.

\newline

\frac{\sqrt[3]{250}}{\sqrt[3]{2}}=

Understand the problem: Understand the problem. $\newline$ We need to find the value of the cube root of $250$ divided by the cube root of $2$ . This can be written as $(250^{1/3})/(2^{1/3})$ .
Simplify the expression: Simplify the expression using the property of exponents that $(a/b)^{1/3} = a^{1/3}/b^{1/3}$ . $\newline$ So, $(250^{1/3})/(2^{1/3}) = (250/2)^{1/3}$ .
Calculate $250/2$ : Calculate $250/2$ . $250$ divided by $2$ equals $125$ .
Find the cube root of $125$ : Find the cube root of $125$ . The cube root of $125$ is $5$ because $5^3 = 125$ .