Question
Solve the equation
b=14349
Alternative Form
b≈0.261379
Evaluate
4b2×8b×7=4
Multiply
More Steps

Evaluate
4b2×8b×7
Multiply the terms
More Steps

Evaluate
4×8×7
Multiply the terms
32×7
Multiply the numbers
224
224b2×b
Multiply the terms with the same base by adding their exponents
224b2+1
Add the numbers
224b3
224b3=4
Divide both sides
224224b3=2244
Divide the numbers
b3=2244
Cancel out the common factor 4
b3=561
Take the 3-th root on both sides of the equation
3b3=3561
Calculate
b=3561
Solution
More Steps

Evaluate
3561
To take a root of a fraction,take the root of the numerator and denominator separately
35631
Simplify the radical expression
3561
Simplify the radical expression
More Steps

Evaluate
356
Write the expression as a product where the root of one of the factors can be evaluated
38×7
Write the number in exponential form with the base of 2
323×7
The root of a product is equal to the product of the roots of each factor
323×37
Reduce the index of the radical and exponent with 3
237
2371
Multiply by the Conjugate
237×372372
Simplify
237×372349
Multiply the numbers
More Steps

Evaluate
237×372
Multiply the terms
2×7
Multiply the terms
14
14349
b=14349
Alternative Form
b≈0.261379
Show Solution
