Question
Solve the equation
f=−1432156
Alternative Form
f≈−0.922759
Evaluate
f2×14f=−11
Multiply
More Steps

Evaluate
f2×14f
Multiply the terms with the same base by adding their exponents
f2+1×14
Add the numbers
f3×14
Use the commutative property to reorder the terms
14f3
14f3=−11
Divide both sides
1414f3=14−11
Divide the numbers
f3=14−11
Use b−a=−ba=−ba to rewrite the fraction
f3=−1411
Take the 3-th root on both sides of the equation
3f3=3−1411
Calculate
f=3−1411
Solution
More Steps

Evaluate
3−1411
An odd root of a negative radicand is always a negative
−31411
To take a root of a fraction,take the root of the numerator and denominator separately
−314311
Multiply by the Conjugate
314×3142−311×3142
Simplify
314×3142−311×3196
Multiply the numbers
More Steps

Evaluate
−311×3196
The product of roots with the same index is equal to the root of the product
−311×196
Calculate the product
−32156
314×3142−32156
Multiply the numbers
More Steps

Evaluate
314×3142
The product of roots with the same index is equal to the root of the product
314×142
Calculate the product
3143
Reduce the index of the radical and exponent with 3
14
14−32156
Calculate
−1432156
f=−1432156
Alternative Form
f≈−0.922759
Show Solution
