(-(23)/(5))*[11*(-(5)/(23))]

Identify Numbers: Identify the numbers to be multiplied. We have two fractions to multiply: -(23/5) and 11*(-5/23).Multiply Numerators: Multiply the numerators together. The numerators are -23 and -5. When we multiply two negative numbers, the result is positive. So, -23 * -5 = 115.Multiply Denominators: Multiply the denominators together. The denominators are 5 and 23. Multiplying these together gives us 5 * 23 = 115.Multiply Fractions: Multiply the fractions. Now we multiply the results from Step 2 and Step 3. (115/115) = 1 because any non-zero number divided by itself equals 1.Multiply by Number: Multiply by the remaining number. We have an additional number to include in our multiplication, which is 11. So, we multiply 1 by 11. 1 * 11 = 11.Combine Results: Combine all the results. Since we have already multiplied the fractions and found that they equal 1, and then multiplied by 11, our final result is simply 11.

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$\left(-\frac{23}{5}\right) \cdot\left[11 \cdot\left(-\frac{5}{23}\right)\right]$

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Algebra 1

Multiplication with rational exponents

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\left(-\frac{23}{5}\right) \cdot\left[11 \cdot\left(-\frac{5}{23}\right)\right]

Identify Numbers: Identify the numbers to be multiplied. $\newline$ We have two fractions to multiply: $-\frac{23}{5}$ and $11\cdot\left(-\frac{5}{23}\right)$ .
Multiply Numerators: Multiply the numerators together. $\newline$ The numerators are $-23$ and $-5$ . When we multiply two negative numbers, the result is positive. $\newline$ So, $-23 \times -5 = 115$ .
Multiply Denominators: Multiply the denominators together. $\newline$ The denominators are $5$ and $23$ . Multiplying these together gives us $5 \times 23 = 115$ .
Multiply Fractions: Multiply the fractions. $\newline$ Now we multiply the results from Step $2$ and Step $3$ . $\newline$ $(\frac{115}{115}) = 1$ because any non-zero number divided by itself equals $1$ .
Multiply by Number: Multiply by the remaining number. $\newline$ We have an additional number to include in our multiplication, which is $11$ . $\newline$ So, we multiply $1$ by $11$ . $\newline$ $1 \times 11 = 11$ .
Combine Results: Combine all the results. $\newline$ Since we have already multiplied the fractions and found that they equal $1$ , and then multiplied by $11$ , our final result is simply $11$ .