Question

Evaluate this expression then round your answer to two decimal places:
7^4 ÷ 7^6 =
​

Answer 1

.02

Explanation:

7^4 ÷ 7^6

We know that a^b ÷ a^c = a^ ( b-c)

7^4 ÷ 7^6

7^(4-6)

7^(-2)

We know that a^ -b = 1/a ^b

1 / 7^2

1/49

.020408163

Rounding to 2 decimal places

.02

Answer 2

0.02

Explanation:

7⁴ / 7⁶ = 7⁴⁻⁶ = 7⁻² = 1/7² = 1/49 ≈ 0.02