Question
Solve the equation
y=−3036300
Alternative Form
y≈−0.615638
Evaluate
y2×30y=−7
Multiply
More Steps

Evaluate
y2×30y
Multiply the terms with the same base by adding their exponents
y2+1×30
Add the numbers
y3×30
Use the commutative property to reorder the terms
30y3
30y3=−7
Divide both sides
3030y3=30−7
Divide the numbers
y3=30−7
Use b−a=−ba=−ba to rewrite the fraction
y3=−307
Take the 3-th root on both sides of the equation
3y3=3−307
Calculate
y=3−307
Solution
More Steps

Evaluate
3−307
An odd root of a negative radicand is always a negative
−3307
To take a root of a fraction,take the root of the numerator and denominator separately
−33037
Multiply by the Conjugate
330×3302−37×3302
Simplify
330×3302−37×3900
Multiply the numbers
More Steps

Evaluate
−37×3900
The product of roots with the same index is equal to the root of the product
−37×900
Calculate the product
−36300
330×3302−36300
Multiply the numbers
More Steps

Evaluate
330×3302
The product of roots with the same index is equal to the root of the product
330×302
Calculate the product
3303
Reduce the index of the radical and exponent with 3
30
30−36300
Calculate
−3036300
y=−3036300
Alternative Form
y≈−0.615638
Show Solution
