How do you simplify $(8 times 10^8)(9 times 10^10)$ ?

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Answer 1 · 2018-04-19T11:13:34

$color(blue)(=> 72 * 10^18$

$(8 * 10^8) * (9 * 10^10)$

$=> 8 * 10 ^8 * 9 * 10^10$

$=> 8 * 9 * 10^8 * 10^10$

$=>(8 * 9) * (10^8 * 10^10)$

$=> 72 * (10^(8+10)), color(brown)(" as " a^m * a^n = a^(m + n)$

$color(blue)(=> 72 * 10^18$

How do you simplify (8 times 10^8)(9 times 10^10)(8 times 10^8)(9 times 10^10)?