Question

Simplify the following and express in exponential form...

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Answer 1

Answer:

10^3

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Answer 2

Step-by-step explanation:

$\frac{ {4}^{2} \times {2}^{3} \times 10 }{ {5}^{2} \times 8 } \\ = \frac{ { ({2}^{2}) }^{2} \times {2}^{3} \times (5 \times 2)}{ {5}^{2} \times {2}^{3} } \\ = \frac{ ({2})^{2 \times 2} \times {2}^{3} \times (5 \times 2) }{ {5}^{2} \times {2}^{3} } \\ = \frac{ {2}^{4} \times {2}^{3} \times 5 \times 2 }{ {5}^{2} \times {2}^{3} } \\ = \frac{ ({2})^{4 + 3 + 1} \times 5}{ {5}^{2} \times {2}^{3} } \\ = \frac{ {2}^{8} \times 5 }{ {5}^{2} \times {2}^{3} } \\ = \frac{ {(2)}^{8 - 3} }{ {(5)}^{2 - 1} } \\ = \frac{ {2}^{5} }{ {5}^{1} } \\ \boxed{ = \underline{\underline{\bf \frac{ {2}^{5} }{5}}}}$