(ii) ((-3)/(29)÷(9)/(87))÷(-1)/(7)

Simplify Expression: Simplify the expression inside the parentheses. We have the expression ((-3)/(29)÷(9)/(87)). To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. ((-3)/(29)) * (87)/(9)Perform Multiplication: Perform the multiplication. Now we multiply the numerators and the denominators separately. (-3 * 87) / (29 * 9)Calculate Multiplication: Calculate the multiplication. Calculate the products of the numerators and the denominators. (-261) / (261)Simplify Fraction: Simplify the fraction. Since the numerator and the denominator are the same number (except for the sign), the fraction simplifies to -1. (-261) / (261) = -1Divide Result: Divide the result by (-1)/(7). Now we have to divide -1 by (-1)/(7). To do this, we multiply -1 by the reciprocal of (-1)/(7). -1 * (-7)/(1)Perform the multiplication. Now we multiply the numerators and the denominators separately. (-1) * (-7) / 1Calculate the multiplication. Calculate the product of the numerators. 7 / 1Simplify the result. Since dividing by 1 does not change the value, the final result is 7. 7 / 1 = 7

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Algebra 1

Multiplication with rational exponents

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Q. (ii)

\left(\frac{-3}{29} \div \frac{9}{87}\right) \div \frac{-1}{7}

Simplify Expression: Simplify the expression inside the parentheses. $\newline$ We have the expression $\left(\frac{-3}{29}\div\frac{9}{87}\right)$ . To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. $\newline$ $\left(\frac{-3}{29}\right) \times \frac{87}{9}$
Perform Multiplication: Perform the multiplication. $\newline$ Now we multiply the numerators and the denominators separately. $\newline$ $(-3 \times 87) / (29 \times 9)$
Calculate Multiplication: Calculate the multiplication. $\newline$ Calculate the products of the numerators and the denominators. $\newline$ $(-261) / (261)$
Simplify Fraction: Simplify the fraction. $\newline$ Since the numerator and the denominator are the same number (except for the sign), the fraction simplifies to $-1$ . $\newline$ $(-261) / (261) = -1$
Divide Result: Divide the result by $(-1)/(7)$ . $\newline$ Now we have to divide $-1$ by $(-1)/(7)$ . To do this, we multiply $-1$ by the reciprocal of $(-1)/(7)$ . $\newline$ $-1 \times (-7)/(1)$
Divide Result: Divide the result by $(-1)/(7)$ . Now we have to divide $-1$ by $(-1)/(7)$ . To do this, we multiply $-1$ by the reciprocal of $(-1)/(7)$ . $-1 \times (-7)/(1)$ Perform the multiplication. Now we multiply the numerators and the denominators separately. $(-1) \times (-7) / 1$
Divide Result: Divide the result by $(-1)/(7)$ . $\newline$ Now we have to divide $-1$ by $(-1)/(7)$ . To do this, we multiply $-1$ by the reciprocal of $(-1)/(7)$ . $\newline$ $-1 \times (-7)/(1)$ Perform the multiplication. $\newline$ Now we multiply the numerators and the denominators separately. $\newline$ $(-1) \times (-7) / 1$ Calculate the multiplication. $\newline$ Calculate the product of the numerators. $\newline$ $7 / 1$
Divide Result: Divide the result by $(-1)/(7)$ . Now we have to divide $-1$ by $(-1)/(7)$ . To do this, we multiply $-1$ by the reciprocal of $(-1)/(7)$ . $-1 \times (-7)/(1)$ Perform the multiplication. Now we multiply the numerators and the denominators separately. $(-1) \times (-7) / 1$ Calculate the multiplication. Calculate the product of the numerators. $7 / 1$ Simplify the result. Since dividing by $1$ does not change the value, the final result is $7$ . $-1$ $0$