Question
Solve the equation
x=−237
Alternative Form
x≈−0.956466
Evaluate
x2×8x=−7
Multiply
More Steps

Evaluate
x2×8x
Multiply the terms with the same base by adding their exponents
x2+1×8
Add the numbers
x3×8
Use the commutative property to reorder the terms
8x3
8x3=−7
Divide both sides
88x3=8−7
Divide the numbers
x3=8−7
Use b−a=−ba=−ba to rewrite the fraction
x3=−87
Take the 3-th root on both sides of the equation
3x3=3−87
Calculate
x=3−87
Solution
More Steps

Evaluate
3−87
An odd root of a negative radicand is always a negative
−387
To take a root of a fraction,take the root of the numerator and denominator separately
−3837
Simplify the radical expression
More Steps

Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−237
x=−237
Alternative Form
x≈−0.956466
Show Solution
