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$sf ( {a}^{ - 3} {b}^{4} {c}^{ - 1} ) ^{6} ( {a}^{2} {b}^{ - 6} c) ^{4 } = ....$

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$rm( {a}^{ - 3} {b}^{4} {c}^{ - 1} ) ^{6} ( {a}^{2} {b}^{ - 6} c) ^{4 }$

$rm = ( {a}^{ - 3} {b}^{4} {c}^{ - 1} ) ^{6} ( {a}^{8} {b}^{ - 24} {c}^{4} )$

$rm = ( {a}^{ - 18} {b}^{24} {c}^{ - 6} )( {a}^{8} {b}^{ - 24} {c}^{4} )$

$rm = {a}^{ - 18 + 8} {b}^{24 - 24} {c}^{ - 6 + 4}$

$rm = {a}^{ - 10} {b}^{0} {c}^{ - 2}$

$rm = {a}^{ - 10} {c}^{ - 2}$

$rm = dfrac{1}{{a}^{ 10} {c}^{ 2} }$

Penjelasan dengan langkah-langkah:

$sf ( {a}^{ - 3} {b}^{4} {c}^{ - 1} ) ^{6} ( {a}^{2} {b}^{ - 6} c) ^{4 } = ....$

$sf = ( {a}^{( - 3) times 6))} {b}^{4 times 6} {c}^{ - 1 times 6} )( {a}^{2 times 4} {b}^{ - 6 times 4} {c}^{1 times 4} )$

$sf = ( {a}^{ - 18} {b}^{24} {c}^{ - 6} )( {a}^{8} {b}^{ - 24} {c}^{4} )$

$sf = ( {a}^{ - 18 + 8} )( {b}^{24 + (- 24)}) ( {c}^{ - 6 + 4} )$

$sf = {a}^{ - 10} {b}^{0} {c}^{ - 2}$

$bf = {a}^{ - 10} {c}^{ - 2}$

atau

$bf = frac{1}{a^{10}c^{2}}$