Question

how to solve 2 raise to the power 1.4?

pls solve this without using log and antilog.​

Answer 1

Answer:

2^1.4 = 2.6390...

Step-by-step explanation:

2^1.4 = 2.6390...

Using log and antilogs i.e not easy approach ?

i.e.

log y = log m^n

log y = n log m

log y = 1.4 log 2

log y = 1.4 * 0.301

log y = 0.4214

antilog (log y) = antilog 0.4214

y= antilog 0.4212 (look for this in a table, should give result)

What I found on internet ,

turn the decimal into a fraction

2^(1.4) => 2^(1 + 2/5)

now given a^(n + m) = a^n * a^m => 2^1 * 2^(2/5) => 2 * 2^(2/5)

you can stop there if you want to.

however a^(nm) = (a^n)^m

=> 2 * (2^2)^(1/5)

Answer 2

Answer:

Step-by-step explanation: