Question

Check

Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done
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Answer 1

`(a)\ (6^7)/(6^4) = (6*6*6*6*6*6*6)/(6*6*6*6)` --- expanded form

`(b)\ (6^7)/(6^4) = 6*6*6` --- Divide common factor

(c) The exponent of the simplified power is 3

Explanation:

The original question is:

`(6^7)/(6^4)`

Required

- Express the exponents in expanded form

- Divide common factors

We have:

`(6^7)/(6^4)`

In indices:

`x^2 = x * x`

So, the above expression becomes:

`(6^7)/(6^4) = (6*6*6*6*6*6*6)/(6*6*6*6)`

Divide the common factors, to give:

`(6^7)/(6^4) = 6*6*6`

Express as an exponent

In indices;

`x * x * x = x^3`

So, we have:

`(6^7)/(6^4) = 6^3`

The simplified power is
`6^3` and 3 is the exponent