2.
[tex] = {16}^{( - \frac{1}{2} )} \times {16}^{ \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1}{2} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1 \times 2}{2 \times 2} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{2}{4} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1}{4}) } [/tex]
[tex]= {( {2}^{4} )}^{( - \frac{1}{4}) } [/tex]
[tex] = {2}^{4 \times ( - \frac{1}{4} )} [/tex]
[tex] = {2}^{( - 1)} = \frac{1}{2} [/tex]
.
3.
[tex] = {64}^{ \frac{1}{2} } \div {64}^{ \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{1}{2} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{1 \times 3}{2 \times 3} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{3}{6} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{ - 4}{6} } [/tex]
[tex] = {64}^{( - \frac{4}{6}) } [/tex]
[tex] = {( {2}^{6} )}^{( - \frac{4}{6}) } [/tex]
[tex] = {2}^{6 \times ( - \frac{4}{6}) } [/tex]
[tex] = {2}^{ - 4} = \frac{1}{16} [/tex]
5.
[tex] = {( {9}^{ \frac{3}{4} } )}^{ - 2} [/tex]
[tex] = {9}^{ \frac{3}{4} \times ( - 2)} [/tex]
[tex] = {9}^{( - \frac{3}{2} )} [/tex]
[tex] = {( {3}^{2} )}^{( - \frac{3}{2} )} [/tex]
[tex] = {3}^{2 \times ( - \frac{3}{2}) } [/tex]
[tex] = {3}^{( - 3)} = \frac{1}{27} [/tex]
Terima kasih ^^
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2.
[tex] = {16}^{( - \frac{1}{2} )} \times {16}^{ \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1}{2} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1 \times 2}{2 \times 2} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{2}{4} ) + \frac{1}{4} } [/tex]
[tex] = {16}^{( - \frac{1}{4}) } [/tex]
[tex]= {( {2}^{4} )}^{( - \frac{1}{4}) } [/tex]
[tex] = {2}^{4 \times ( - \frac{1}{4} )} [/tex]
[tex] = {2}^{( - 1)} = \frac{1}{2} [/tex]
.
3.
[tex] = {64}^{ \frac{1}{2} } \div {64}^{ \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{1}{2} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{1 \times 3}{2 \times 3} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{3}{6} - \frac{7}{6} } [/tex]
[tex] = {64}^{ \frac{ - 4}{6} } [/tex]
[tex] = {64}^{( - \frac{4}{6}) } [/tex]
[tex] = {( {2}^{6} )}^{( - \frac{4}{6}) } [/tex]
[tex] = {2}^{6 \times ( - \frac{4}{6}) } [/tex]
[tex] = {2}^{ - 4} = \frac{1}{16} [/tex]
.
5.
[tex] = {( {9}^{ \frac{3}{4} } )}^{ - 2} [/tex]
[tex] = {9}^{ \frac{3}{4} \times ( - 2)} [/tex]
[tex] = {9}^{( - \frac{3}{2} )} [/tex]
[tex] = {( {3}^{2} )}^{( - \frac{3}{2} )} [/tex]
[tex] = {3}^{2 \times ( - \frac{3}{2}) } [/tex]
[tex] = {3}^{( - 3)} = \frac{1}{27} [/tex]
.
Terima kasih ^^