Question

Check

Answer 1

Answer:

$(a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}$ --- expanded form

$(b)\ \frac{6^7}{6^4} = 6*6*6$ --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

$\frac{6^7}{6^4}$

Required

- Express the exponents in expanded form

- Divide common factors

We have:

$\frac{6^7}{6^4}$

In indices:

$x^2 = x * x$

So, the above expression becomes:

$\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}$

Divide the common factors, to give:

$\frac{6^7}{6^4} = 6*6*6$

Express as an exponent

In indices;

$x * x * x = x^3$

So, we have:

$\frac{6^7}{6^4} = 6^3$

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