Question
Solve the equation
b=−11357×1134
Alternative Form
b≈−0.573329
Evaluate
−113b5=7
Change the signs on both sides of the equation
113b5=−7
Divide both sides
113113b5=113−7
Divide the numbers
b5=113−7
Use b−a=−ba=−ba to rewrite the fraction
b5=−1137
Take the 5-th root on both sides of the equation
5b5=5−1137
Calculate
b=5−1137
Solution
More Steps

Evaluate
5−1137
An odd root of a negative radicand is always a negative
−51137
To take a root of a fraction,take the root of the numerator and denominator separately
−511357
Multiply by the Conjugate
5113×51134−57×51134
The product of roots with the same index is equal to the root of the product
5113×51134−57×1134
Multiply the numbers
More Steps

Evaluate
5113×51134
The product of roots with the same index is equal to the root of the product
5113×1134
Calculate the product
51135
Reduce the index of the radical and exponent with 5
113
113−57×1134
Calculate
−11357×1134
b=−11357×1134
Alternative Form
b≈−0.573329
Show Solution
