Find the cube-roots of -175616
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Prime factors of 175616:
−1756163=−(2×2×2)×(2×2×2)×(2×2×2)×(7×7×7)3=−2×2×2×7=−56\sqrt[3]{-175616}\\[1em] = -\sqrt[3]{(2 \times 2 \times 2)\times (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times (7 \times 7 \times 7)}\\[1em] = -2 \times 2 \times 2 \times 7\\[1em] = -563−175616=−3(2×2×2)×(2×2×2)×(2×2×2)×(7×7×7)=−2×2×2×7=−56
Hence, −1756163=−56\sqrt[3]{-175616} = -563−175616=−56
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