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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. -(1)/(3)*-(2)/(3) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $-\frac{1}{3} \cdot-\frac{2}{3}$ $\newline$ Answer:

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Multiplication with rational exponents

Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

\newline

-\frac{1}{3} \cdot-\frac{2}{3}

\newline

Answer:

Identify Operation: Identify the operation to be performed. $\newline$ We need to multiply two negative fractions: $-\frac{1}{3}$ and $-\frac{2}{3}$ .
Multiply Numerators: Multiply the numerators. $\newline$ Multiply the numerators (the top numbers) of the fractions: $-1 \times -2 = 2$ .
Multiply Denominators: Multiply the denominators. $\newline$ Multiply the denominators (the bottom numbers) of the fractions: $3 \times 3 = 9$ .
Combine Results: Combine the results of the numerators and denominators. $\newline$ Combine the results from Step $2$ and Step $3$ to form a new fraction: $\frac{2}{9}$ .
Check for Simplification: Check if the fraction can be simplified further. $\newline$ The fraction $\frac{2}{9}$ is already in its simplest form because $2$ and $9$ have no common factors other than $1$ .

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