Question

Simplify and express each of the following in exponential form:

$1. \: \frac{ {2}^{15} }{ {2}^{7} \times {2}^{3} }$
$2. \: ( {3}^{5} \times {3}^{2} {)}^{3}$
$3. \: (( {2}^{3} {)}^{4} \times {2}^{8} ) + {2}^{12}$
$4. \: \frac{ {5}^{4} \times {x}^{10} {y}^{5} }{ {5}^{4} \times {x}^{7} {y}^{4} }$
$5. \: ( \frac{2}{3} {)}^{5} \times ( \frac{3}{5} {)}^{5}$
$6. \: \frac{ {9}^{8} \times ( {x}^{2} {)}^{5} }{ {(27)}^{4} \times {(x}^{3} {)}^{2} }$
$7. \: \frac{ {3}^{2} \times {7}^{8} \times {13}^{6} }{ {21}^{2} \times {91}^{3} }$
$8. \: \frac{10 \times {5}^{n + 1} + 25 \times {5}^{n} }{3 \times {5}^{n + 2} + 10 \times {5}^{n + 1} }$


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Answer 1

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