Question
Solve the equation
b=−18531437450
Alternative Form
b≈−0.610041
Evaluate
5b2×37b=−42
Multiply
More Steps

Evaluate
5b2×37b
Multiply the terms
185b2×b
Multiply the terms with the same base by adding their exponents
185b2+1
Add the numbers
185b3
185b3=−42
Divide both sides
185185b3=185−42
Divide the numbers
b3=185−42
Use b−a=−ba=−ba to rewrite the fraction
b3=−18542
Take the 3-th root on both sides of the equation
3b3=3−18542
Calculate
b=3−18542
Solution
More Steps

Evaluate
3−18542
An odd root of a negative radicand is always a negative
−318542
To take a root of a fraction,take the root of the numerator and denominator separately
−3185342
Multiply by the Conjugate
3185×31852−342×31852
Simplify
3185×31852−342×334225
Multiply the numbers
More Steps

Evaluate
−342×334225
The product of roots with the same index is equal to the root of the product
−342×34225
Calculate the product
−31437450
3185×31852−31437450
Multiply the numbers
More Steps

Evaluate
3185×31852
The product of roots with the same index is equal to the root of the product
3185×1852
Calculate the product
31853
Reduce the index of the radical and exponent with 3
185
185−31437450
Calculate
−18531437450
b=−18531437450
Alternative Form
b≈−0.610041
Show Solution
