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 simpl…

Question

asked Feb 7, 2022 156k views

1 Answer

Mohit Bumb · Answer 1 · 2022-02-11T00:09:38+0000

Answer:

$(a)\ (6^7)/(6^4) = (6*6*6*6*6*6*6)/(6*6*6*6)$ --- 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