1 Answer

Viccari · Answer 1 · 2021-03-28T05:06:18+0000

Answer:

The answer is 10⁴ × 4⁵.

Explanation:

First, you can seperate the fraction :

$\frac{ {10}^(4) * {4}^(10) }{ {4}^(5) }$

$= {10}^(4) * \frac{ {4}^(10) }{ {4}^(5) }$

Next, you have to apply Indices law :

${a}^(m) / {a}^(n) = {a}^(m - n)$

So for this question :

${10}^(4) * \frac{ {4}^(10) }{ {4}^(5) }$

$= {10}^(4) * {4}^(10 - 5)$

$= {10}^(4) * {4}^(5)$

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