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write the index form of .
axaxaxcxcxcxcx5x5x5x5

Sagot :

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].

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