Question

a)
${8}^{6} x {8}^{2} = \: \: \: b) \: ( {23}^{3} )2 = \: \: c) {5}^{7} \div {5}^{5} \: \: d)( {15}^{10} ) {0}^{3} = \: \: e)(0.7) {0}^{4} \div (0.7) {0}^{2 = }$
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Answer 1

$a) 8^6\cdot \:8^2\\\\8^6\cdot \:8^2=8^{6+2}\\=8^{6+2}\\\\6+2=8\\\\=8^8\\\\8^8=16777216$                 $b) \left(23^3\right)\:2\\\left(23^3\right)\cdot \:2\\\\=23^3\cdot \:2\\\\23^3=12167\\\\=12167\cdot \:2\\\\12167\cdot \:2=24334\\\\=24334$     $c) \frac{5^7}{5^5}\\\frac{5^7}{5^5}=5^{7-5}\\\\=5^{7-5}\\\\=25$      $d) \left(15^{10}\right)\cdot \:0^3\\\\15^{10}=576650390625\\\\=576650390625\cdot \:0^3\\\\0^3=0\\=0\\\\=576650390625\cdot \:0\\\\576650390625\cdot \:0\\\\=0$