Question

2.6 x 10 ^-6/ 2.23 x 10 ^7

Answer 1

The answer to the above equation is 1.1659 *10⁻¹³

Step-by-step explanation:

We can easily do this equation by knowing some basic indices corollary. These include

1. aᵇ=1/a⁻ᵇ similarly a⁻ᵇ = 1/aᵇ
2. aᵇ.aⁿ = aᵇ⁺ⁿ
3. aᵇ/aⁿ=aᵇ⁻ⁿ

Using these three corollaries we can easily solve the equation-

2.6 x 10⁻⁶/ 2.23 x 10⁷

Using the corollary 1, the equation can be rewritten as-

⇒2.6/2.23 ₓ10⁷ₓ 10⁶

Using corollary 2-

⇒2.6/2.23 ₓ 10⁷⁺⁶

⇒2.6/2.23 ₓ 10¹³

Using corollary 1 in reverse manner (1/aᵇ= a⁻ᵇ)

⇒1.1659ₓ 10⁻¹³

Hence the answer of the equation is 1.1659 ₓ 10⁻¹³