\( 1 \frac{12 a^{0} b^{3} c^{-1}}{15 a^{-2} b^{5} c^{-3}} \)

Calculate or simplify the expression \( 1 \frac{12 a^{0} b^{3} c^{-1}}{15 a^{-2} b^{5} c^{-3}} \). Simplify the expression by following steps: - step0: Solution: \(\left(1\times \frac{12a^{0}b^{3}c^{-1}}{15a^{-2}b^{5}c^{-3}}\right)\) - step1: Evaluate: \(1\times \frac{12a^{0}b^{3}c^{-1}}{15a^{-2}b^{5}c^{-3}}\) - step2: Multiply by \(a^{-n}:\) \(1\times \frac{12a^{0}b^{3}c^{-1}a^{2}b^{-5}c^{3}}{15}\) - step3: Evaluate the power: \(1\times \frac{12\times 1\times b^{3}c^{-1}a^{2}b^{-5}c^{3}}{15}\) - step4: Reduce the fraction: \(1\times \frac{4b^{-2}c^{2}a^{2}}{5}\) - step5: Rewrite the expression: \(1\times \frac{4c^{2}a^{2}}{5b^{2}}\) - step6: Calculate: \(\frac{4c^{2}a^{2}}{5b^{2}}\) The simplified form of the expression \(1 \frac{12 a^{0} b^{3} c^{-1}}{15 a^{-2} b^{5} c^{-3}}\) is \(\frac{4c^{2}a^{2}}{5b^{2}}\).