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[tex] \sf {7}^{6} \times {7}^{3} \\ = \sf {7}^{6 + 3} \\ = \sf\red{ {7}^{9} }[/tex]
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[tex] \sf \frac{ {5}^{16} }{ {5}^{4} } \\ = \sf {5}^{16 - 4} \\ \sf = \red{ {5}^{12} }[/tex]
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[tex] \sf \frac{ {a}^{7} \times {a}^{ - 5} }{ {a}^{2} } \\ = \sf \frac{ {a}^{7 + ( - 5)} }{ {a}^{2} } \\ \sf = {a}^{2 - 2} \\ \sf = \red{ {a}^{0} }[/tex]
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[tex] \sf \frac{ {a}^{7} {b}^{8} }{ {a}^{2} {b}^{5} } \\ = \sf {a}^{7 - 2} {b}^{8 - 5} \\ \sf = \red{ {a}^{5} {b}^{3} }[/tex]
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[tex] \sf {6}^{ - 5} \\ \sf = \red{ \frac{1}{ {6}^{5} } }[/tex]
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[tex] \sf(2 {a}^{2} b {)}^{5} \\ = \sf {2}^{5} {a}^{2 \times 5} {b}^{5} \\ \sf = \red{32 {a}^{10} {b}^{5} }[/tex]
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[tex] \sf \frac{ {4a}^{4} {b}^{ - 3} }{ {16a}^{ - 2} {b}^{2} } \\ \sf = \frac{ {a}^{6} {b}^{ - 5} }{4} \\ \sf = \red{ \frac{ {a}^{6} }{4 {b}^{5} } }[/tex]
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[tex] \sf( \frac{4y}{2x} {)}^{2} \\ \sf= \frac{(4y {)}^{2} }{(2x {)}^{2} } \\ \sf = \red{ \frac{ {16y}^{2} }{ {4x}^{2} } }[/tex]
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[tex] \sf \frac{(3 {a}^{4} {)}^{3} }{(2 {a}^{ - 2} {)}^{ - 1} } \\ \sf= \frac{27 {a}^{12} }{ \frac{ {a}^{2} }{2} } \\ \sf = \red{ {54a}^{10} }[/tex]
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[tex] \sf \sqrt[4]{ {81}^{3} } \\ \sf = {81}^{ \frac{3}{4} } \\ \sf = ( {3}^{4} {)}^{ \frac{3}{4} } \\ \sf = \red{ {3}^{3} }[/tex]
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Answer By :
[tex]\large{\textbf{\textsf{\blue{Mathdy}}}}[/tex]
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