Calculate with a scientific calculator with no less than 14 digits-

(1) is calculated by logarithm and inverse formula.

For example, the ninth power of 4387692 = 4387692 (1/9).

lg4387692^( 1/9)=( 1/9)lg4387692=( 1/9)×6.642236 138=0.738026237 1

∴ Calculate the number of objections with a calculator, that is, 4387692 (1/9) = 5.45438+009.

Reduction: 5.470490 109 9 = 4387692

The same is true for very large numbers, such as 32769 power.

4387692^( 1/32769)=4387692^[ 1/(3.2769× 10000)]

lg4387692^[ 1/(3.2769× 10000)]= 1/(3.2769× 10000)LG 4387692

= 1/(3.2769× 10000)×6.642236 138=2.026987744/ 10000=0.0002026987744

The real number of 2.07744 is 106.4438+0 1888.

The real number of 0.0002697744 is 1.00269746.

∴4387692^( 1/32769)= 1.00046684

(2) Direct calculation with power fraction index formula.

4387692^( 1/32769)= 1.00046684

(3) directly use the open multiple formula to calculate.

Open to the power of 32,769 √ 4,387,692 = 65,438+0.000885.008888888885

The results obtained by these three methods are the same.