Question
Solve the equation
x=1516
Alternative Form
x≈1.203025
Evaluate
(x5)43=2
Find the domain
More Steps

Evaluate
x5≥0
The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0
x≥0
(x5)43=2,x≥0
Simplify
More Steps

Evaluate
(x5)43
Multiply the exponents
x5×43
Multiply the numbers
More Steps

Evaluate
5×43
Multiply the numbers
45×3
Multiply the numbers
415
x415
x415=2
Raise both sides of the equation to the reciprocal of the exponent
(x415)154=2154
Evaluate the power
x=2154
Simplify
More Steps

Evaluate
2154
Use anm=nam to transform the expression
1524
Simplify
1516
x=1516
Check if the solution is in the defined range
x=1516,x≥0
Solution
x=1516
Alternative Form
x≈1.203025
Show Solution
