Answer:
The answer is 10⁴ × 4⁵.
Step-by-step explanation:
First, you can seperate the fraction :
[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
Next, you have to apply Indices law :
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
So for this question :
[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]
[tex] = {10}^{4} \times {4}^{5} [/tex]
