Bonus (if done early) If x^(3)=8 what is x ?

Identify Equation & Question: Identify the equation and what is being asked. We are given x^(3)=8 and need to find the value of x.Express 8 as Term: Express 8 as a term raised to the power of 3. 8 is 2 raised to the power of 3, since 2 * 2 * 2 = 8. So, we can write 8 as 2^3.Set Equation Equal: Set the equation x^(3) equal to 2^3. Since x^(3)=8 and 8=2^3, we have x^(3)=2^3.Find Cube Root: Find the cube root of both sides of the equation. To find x, we need to take the cube root of both sides of the equation because the cube root is the inverse operation of raising a number to the power of 3. The cube root of x^(3) is x, and the cube root of 2^3 is 2. Therefore, x = 2.

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Bonus (if done early)
If
x^(3)=8 what is
x ?

Bonus (if done early) $\newline$ If $x^{3}=8$ what is $x$ ?

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Algebra 1

Evaluate integers raised to positive rational exponents

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Q. Bonus (if done early)

\newline

x^{3}=8

what is

x

Identify Equation & Question: Identify the equation and what is being asked. $\newline$ We are given $x^{3}=8$ and need to find the value of $x$ .
Express $8$ as Term: Express $8$ as a term raised to the power of $3$ . $8$ is $2$ raised to the power of $3$ , since $2 \times 2 \times 2 = 8$ . So, we can write $8$ as $2^3$ .
Set Equation Equal: Set the equation $x^{3}$ equal to $2^{3}$ . $\newline$ Since $x^{3}=8$ and $8=2^{3}$ , we have $x^{3}=2^{3}$ .
Find Cube Root: Find the cube root of both sides of the equation. $\newline$ To find $x$ , we need to take the cube root of both sides of the equation because the cube root is the inverse operation of raising a number to the power of $3$ . $\newline$ The cube root of $x^{3}$ is $x$ , and the cube root of $2^3$ is $2$ . $\newline$ Therefore, $x = 2$ .