Question
Solve the equation
h=−26323660
Alternative Form
h≈−1.104159
Evaluate
h2×26h=−35
Multiply
More Steps

Evaluate
h2×26h
Multiply the terms with the same base by adding their exponents
h2+1×26
Add the numbers
h3×26
Use the commutative property to reorder the terms
26h3
26h3=−35
Divide both sides
2626h3=26−35
Divide the numbers
h3=26−35
Use b−a=−ba=−ba to rewrite the fraction
h3=−2635
Take the 3-th root on both sides of the equation
3h3=3−2635
Calculate
h=3−2635
Solution
More Steps

Evaluate
3−2635
An odd root of a negative radicand is always a negative
−32635
To take a root of a fraction,take the root of the numerator and denominator separately
−326335
Multiply by the Conjugate
326×3262−335×3262
Simplify
326×3262−335×3676
Multiply the numbers
More Steps

Evaluate
−335×3676
The product of roots with the same index is equal to the root of the product
−335×676
Calculate the product
−323660
326×3262−323660
Multiply the numbers
More Steps

Evaluate
326×3262
The product of roots with the same index is equal to the root of the product
326×262
Calculate the product
3263
Reduce the index of the radical and exponent with 3
26
26−323660
Calculate
−26323660
h=−26323660
Alternative Form
h≈−1.104159
Show Solution
