a)
[tex](1.1)^{5} \div (1.1)^{3} = {(1.1)}^{5 - 3} = {(1.1)}^{2} = 1.21[/tex]
b)
[tex]( \frac{3}{5} )^{4} \times {5}^{4} = ( \frac{3}{5} \times 5) ^{4} = {3}^{4} = 81[/tex]
c)
[tex]( \frac{3}{5})^{4} \times (1 \frac{2}{3} )^{5} = ( \frac{3}{5})^{4} \times (1 \frac{2}{3})^{4} \times 1 \frac{2}{3} = ( \frac{3}{5} \times 1 \frac{2}{3} )^{4} \times 1 \frac{2}{3} = ( \frac{3}{5} \times \frac{5}{3} )^{4} \times 1 \frac{2}{3} = {1}^{4} \times 1 \frac{2}{3} = 1 \times 1 \frac{2}{3} = 1 \frac{2}{3} [/tex]
d)
[tex] \frac{ {25}^{2} \times {5}^{3} }{ {5}^{6} } = \frac{( {5}^{2})^{2} \times {5}^{3} }{ {5}^{6} } = \frac{ {5}^{4} \times {5}^{3} }{ {5}^{6} } = \frac{ {5}^{7} }{ {5}^{6} } = {5}^{7 - 6} = {5}^{1} = 5[/tex]
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a)
[tex](1.1)^{5} \div (1.1)^{3} = {(1.1)}^{5 - 3} = {(1.1)}^{2} = 1.21[/tex]
b)
[tex]( \frac{3}{5} )^{4} \times {5}^{4} = ( \frac{3}{5} \times 5) ^{4} = {3}^{4} = 81[/tex]
c)
[tex]( \frac{3}{5})^{4} \times (1 \frac{2}{3} )^{5} = ( \frac{3}{5})^{4} \times (1 \frac{2}{3})^{4} \times 1 \frac{2}{3} = ( \frac{3}{5} \times 1 \frac{2}{3} )^{4} \times 1 \frac{2}{3} = ( \frac{3}{5} \times \frac{5}{3} )^{4} \times 1 \frac{2}{3} = {1}^{4} \times 1 \frac{2}{3} = 1 \times 1 \frac{2}{3} = 1 \frac{2}{3} [/tex]
d)
[tex] \frac{ {25}^{2} \times {5}^{3} }{ {5}^{6} } = \frac{( {5}^{2})^{2} \times {5}^{3} }{ {5}^{6} } = \frac{ {5}^{4} \times {5}^{3} }{ {5}^{6} } = \frac{ {5}^{7} }{ {5}^{6} } = {5}^{7 - 6} = {5}^{1} = 5[/tex]