solve the equation for m
81m^4+54=70
81 m^4= 16
m^4 = 16/81
m = ± 2/3
To solve the equation 81m^4 + 54 = 70 for the variable m, we will follow these steps:
Step 1: Subtract 54 from both sides of the equation:
81m^4 + 54 - 54 = 70 - 54
Simplifying the equation gives us:
81m^4 = 16
Step 2: Divide both sides of the equation by 81:
(81m^4) / 81 = 16 / 81
Reducing the equation yields:
m^4 = 16/81
Step 3: Find the fourth root of both sides of the equation:
√(m^4) = √(16/81)
Taking the fourth root yields:
m = ±√(16/81)
Step 4: Simplify the square root expression:
m = ±(√16 / √81)
Simplifying further gives:
m = ±(4 / 9)
Therefore, the solution to the equation 81m^4 + 54 = 70 is:
m = 4/9 or m = -4/9.