Question

Dividing a power of 4 by 4 is equivalent to (dividing, increasing, reducing, multiplying) the exponent by (10, 2, 1, 4).

Answer 1

Reducing by 1

Explanation:

4^x ÷ 4

4^(x - 1)

Answer 2

Dividing a power of 4 by 4 is equivalent to ( reducing,) the exponent by (1).

Explanation:

Let the power of 4 be 3

4 *4*4

We divide by 4

4*4*4/4 = 4*4 = 4^2

So we removed 1 power

Notice that 3-1 =2

Let 4 be raised to any power

4^a

We divide by 4

4^a/4 we remove 1 of the powers

we are left with

4^(a-1)

So we reduce the exponent by 1