84.4k views
4 votes
What solution equals x^4=81

2 Answers

1 vote

Answer:

Since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

The inverse (opposite operation) of "to the fourth power" is "to the fourth root".

(x^4) ^ 1/4 = 81 ^ 1/4

81 = 3^4

so, (3^4) ^ 1/4 = 3 ^ 1 = 3

by hand: (3^4) 1/4 = 3 ^

(4 × 1/4) = 3^1 = 3

(when you take a power to a power, multiply the exponents.)

Or, do it by calculator. One way of finding the fourth the fourth root is to use ^ (1/4).

User Rpgmaker
by
3.5k points
6 votes

Answer:

Explanation:

3^4=81

3 to the square root of 4 is 81

3*3*3*3=81

User Ludovic Feltz
by
3.4k points