Question
Solve the equation
b=−351080
Alternative Form
b≈−1.347608
Evaluate
56=16−9b4×b
Multiply
More Steps

Evaluate
9b4×b
Multiply the terms with the same base by adding their exponents
9b4+1
Add the numbers
9b5
56=16−9b5
Swap the sides of the equation
16−9b5=56
Move the constant to the right-hand side and change its sign
−9b5=56−16
Subtract the numbers
−9b5=40
Change the signs on both sides of the equation
9b5=−40
Divide both sides
99b5=9−40
Divide the numbers
b5=9−40
Use b−a=−ba=−ba to rewrite the fraction
b5=−940
Take the 5-th root on both sides of the equation
5b5=5−940
Calculate
b=5−940
Solution
More Steps

Evaluate
5−940
An odd root of a negative radicand is always a negative
−5940
To take a root of a fraction,take the root of the numerator and denominator separately
−59540
Multiply by the Conjugate
59×594−540×594
Simplify
59×594−540×3527
Multiply the numbers
More Steps

Evaluate
−540×3527
Multiply the terms
−51080×3
Use the commutative property to reorder the terms
−351080
59×594−351080
Multiply the numbers
More Steps

Evaluate
59×594
The product of roots with the same index is equal to the root of the product
59×94
Calculate the product
595
Transform the expression
5310
Reduce the index of the radical and exponent with 5
32
32−351080
Reduce the fraction
More Steps

Evaluate
32−3
Use the product rule aman=an−m to simplify the expression
32−1−1
Subtract the terms
31−1
Simplify
3−1
3−51080
Calculate
−351080
b=−351080
Alternative Form
b≈−1.347608
Show Solution
