(((a)/(b)))/(c)*(a)/(((b)/(c)))

Write Original Expression: Write down the original expression. We have the expression (((a)/(b)))/(c)*(a)/(((b)/(c))).Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators separately. The expression can be rewritten as (a * a) / (b * c * (b/c)).Simplify Denominator: Simplify the denominator. Since b/c is in the denominator of the denominator, we can multiply it by the numerator of the main fraction to simplify. This gives us (a * a) / (b * c * b / c).Cancel Common Terms: Cancel out the common terms in the numerator and denominator. The c in the denominator cancels out with the c in b/c. This simplifies to (a * a) / (b * b).Write Simplified Expression: Write the simplified expression. The expression is now (a^2) / (b^2).

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$\frac{\left(\frac{a}{b}\right)}{c} \cdot \frac{a}{\left(\frac{b}{c}\right)}$

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Algebra 1

Multiplication with rational exponents

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\frac{\left(\frac{a}{b}\right)}{c} \cdot \frac{a}{\left(\frac{b}{c}\right)}

Write Original Expression: Write down the original expression. $\newline$ We have the expression $\frac{\left(\frac{a}{b}\right)}{c}\cdot\frac{a}{\left(\frac{b}{c}\right)}$ .
Simplify by Multiplying: Simplify the expression by multiplying the numerators and denominators separately. $\newline$ The expression can be rewritten as $(a \times a) / (b \times c \times (b/c))$ .
Simplify Denominator: Simplify the denominator. $\newline$ Since $\frac{b}{c}$ is in the denominator of the denominator, we can multiply it by the numerator of the main fraction to simplify. $\newline$ This gives us $(a \times a) / (b \times c \times b / c)$ .
Cancel Common Terms: Cancel out the common terms in the numerator and denominator. $\newline$ The $c$ in the denominator cancels out with the $c$ in $\frac{b}{c}$ . $\newline$ This simplifies to $\frac{a \times a}{b \times b}$ .
Write Simplified Expression: Write the simplified expression. $\newline$ The expression is now $(a^2) / (b^2)$ .