How do you solve 2 to the power 1.4?

Answer 1

Various methods, but you will need some sort of calculating device.

The easiest is to use a pocket calculator or computer spreadsheet and enter 2^1.4

If you do not have such a device, your next best bet is to use log tables.

2^1.4 = ???

→ log(2^1.4) = log(???)

→ 1.4 × log(2) = log(???)

→ base^(1.4 × log(2)) = base^(log(???)) = ???

So, using any base multiply the log of 2 by 1.4 and find the anti-log of that value.

Using 4-figure logs to base 10:

2^1.4 = 10^(1.4 × log 2))

(in my tables I convert 2.000 to 20-0-0 to find 20-0 gives me 3010)

≈ 10^(1.4 × 0.3010)

= 10^(0.4214)

(in my tables I find 26-3 gives 4200, 26-4 gives 4216, mean difference 8 gives 13, 9 gives 15, so round up making the anti-log:)

≈ 2.64

Answer 2

I would use a calculator.
2^1.4 = 2.639015822