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$Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(4)*-(1)/(4) Answer:$

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. $\newline$ $\frac{1}{4} \cdot-\frac{1}{4}$ $\newline$ 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}{4} \cdot-\frac{1}{4}

\newline

Answer:

Multiply Numerators: Multiply the numerators together. $\newline$ We have two fractions, $(\frac{1}{4})$ and $-(\frac{1}{4})$ . To multiply fractions, we multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. $\newline$ Calculation: $1 \times -1 = -1$
Multiply Denominators: Multiply the denominators together. $\newline$ Now we multiply the denominators of the two fractions. $\newline$ Calculation: $4 \times 4 = 16$
Write Result as Fraction: Write the result as a fraction. $\newline$ After multiplying the numerators and denominators, we combine them to form the new fraction. $\newline$ Calculation: $(-1) / 16$
Check for Simplification: Check if the fraction can be simplified further. $\newline$ Since the numerator is $-1$ and the denominator is $16$ , and there are no common factors other than $1$ , the fraction is already in its simplest form.

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