Simplify: (5z)^(3) Answer:

Apply Power to Coefficient and Variable: To simplify the expression (5z)^(3), we need to apply the power to both the coefficient (5) and the variable (z). This means we will raise both 5 and z to the power of 3. Calculation: (5z)^(3) = 5^(3) * z^(3) Math error check: Calculate 5 to the Power of 3: Now we calculate the value of 5 raised to the power of 3. Calculation: 5^(3) = 5 * 5 * 5 = 125 Math error check: Raise Variable to Power of 3: Since z is a variable, we simply raise it to the power of 3 without changing its value. Calculation: z^(3) = z * z * z Math error check: Combine Results for Final Expression: Combine the results from the previous steps to get the final simplified expression. Calculation: 125 * z^(3) Math error check:

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Math Problems

Algebra 2

Simplify variable expressions using properties

Full solution

Q. Simplify:

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(5 z)^{3}

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Answer:

Apply Power to Coefficient and Variable: To simplify the expression $(5z)^{3}$ , we need to apply the power to both the coefficient $5$ and the variable $z$ . This means we will raise both $5$ and $z$ to the power of $3$ . $\newline$ Calculation: $(5z)^{3} = 5^{3} \times z^{3}$ $\newline$ Math error check:
Calculate $5$ to the Power of $3$ : Now we calculate the value of $5$ raised to the power of $3$ . $\newline$ Calculation: $5^{3} = 5 \times 5 \times 5 = 125$ $\newline$ Math error check:
Raise Variable to Power of $3$ : Since $z$ is a variable, we simply raise it to the power of $3$ without changing its value. $\newline$ Calculation: $z^{3} = z \times z \times z$ $\newline$ Math error check:
Combine Results for Final Expression: Combine the results from the previous steps to get the final simplified expression. $\newline$ Calculation: $125 \times z^{3}$ $\newline$ Math error check: