Evaluate. ((1)/(3))^(3)=

Understand exponent rule: Understand the exponent rule for fractions. When raising a fraction to an exponent, we raise both the numerator and the denominator to that exponent.Apply exponent to numerator: Apply the exponent to the numerator and the denominator. ((1)/(3))^3 = (1^3)/(3^3)Calculate values: Calculate the value of 1^3 and 3^3. 1^3 = 1 * 1 * 1 = 1 3^3 = 3 * 3 * 3 = 27Substitute values back: Substitute the calculated values back into the fraction. (1^3)/(3^3) = 1/27

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Evaluate. $\newline$ $(\frac{1}{3})^{3}=$

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Math Problems

Grade 8

Powers with negative bases

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Q. Evaluate.

\newline

(\frac{1}{3})^{3}=

Understand exponent rule: Understand the exponent rule for fractions. $\newline$ When raising a fraction to an exponent, we raise both the numerator and the denominator to that exponent.
Apply exponent to numerator: Apply the exponent to the numerator and the denominator. $\left(\frac{1}{3}\right)^3 = \frac{1^3}{3^3}$
Calculate values: Calculate the value of $1^3$ and $3^3$ . $\newline$ $1^3 = 1 \times 1 \times 1 = 1$ $\newline$ $3^3 = 3 \times 3 \times 3 = 27$
Substitute values back: Substitute the calculated values back into the fraction. $\newline$ $(1^3)/(3^3) = 1/27$