Find the cube-roots of -64 x -125
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Prime factors of 64:
Prime factors of 125:
−64×−1253=−643×−1253=−(2×2×2)×(2×2×2)3×−(5×5×5)3=(2×2)×(5)=4×5=20\sqrt[3]{-64 \times -125}\\[1em] = \sqrt[3]{-64} \times \sqrt[3]{-125}\\[1em] = -\sqrt[3]{(2 \times 2 \times 2) \times (2 \times 2 \times 2)} \times -\sqrt[3]{(5 \times 5 \times 5)}\\[1em] = (2 \times 2) \times (5)\\[1em] = 4 \times 5\\[1em] = 203−64×−125=3−64×3−125=−3(2×2×2)×(2×2×2)×−3(5×5×5)=(2×2)×(5)=4×5=20
−64×−1253=20\sqrt[3]{-64 \times -125} = 203−64×−125=20
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