Question

Solve m^4 =625

m= +156.5
m= +5
m cannot be found
m= +125
Please look at picture

Answer 1

m = +/- 5

Explanation:

We can solve the equation by taking the fourth root of both sides.

`+/-\sqrt[4]{m^4}=+/-\sqrt[4]{625} \\m=5\\m=-5`

(5)(5)(5)(5) = 625

(-5)(-5)(-5)(-5) = 625

The +/- in the answers come from the fact that whenever you have a even exponent (e.g., x^2 or m^4), you always get a positive answer, even if the base you're raising to the particular exponent is negative