Answer :
Given:
The expression is:
[tex]a\times a\times a\times c\times c\times c\times c\times 5\times 5\times 5\times 5[/tex]
To find:
The index form of a the given expression.
Solution:
Index form is the exponent form.
We have,
[tex]a\times a\times a\times c\times c\times c\times c\times 5\times 5\times 5\times 5[/tex]
Here, a is multiplied with itself 3 times, c is multiplied with itself 4 times and 5 is with itself 4 times. So, the power of a, c and 5 must be 3, 4 and 4 respectively.
[tex]a\times a\times a\times c\times c\times c\times c\times 5\times 5\times 5\times 5=a^3c^45^4[/tex]
Therefore, the index form of the given expression is [tex]a^3c^45^4[/tex].