Question
Solve the equation
s=−223484
Alternative Form
s≈−0.356883
Evaluate
s2×22s=−1
Multiply
More Steps

Evaluate
s2×22s
Multiply the terms with the same base by adding their exponents
s2+1×22
Add the numbers
s3×22
Use the commutative property to reorder the terms
22s3
22s3=−1
Divide both sides
2222s3=22−1
Divide the numbers
s3=22−1
Use b−a=−ba=−ba to rewrite the fraction
s3=−221
Take the 3-th root on both sides of the equation
3s3=3−221
Calculate
s=3−221
Solution
More Steps

Evaluate
3−221
An odd root of a negative radicand is always a negative
−3221
To take a root of a fraction,take the root of the numerator and denominator separately
−32231
Simplify the radical expression
−3221
Multiply by the Conjugate
322×3222−3222
Simplify
322×3222−3484
Multiply the numbers
More Steps

Evaluate
322×3222
The product of roots with the same index is equal to the root of the product
322×222
Calculate the product
3223
Reduce the index of the radical and exponent with 3
22
22−3484
Calculate
−223484
s=−223484
Alternative Form
s≈−0.356883
Show Solution
