Question
Simplify the expression
960b3−100
Evaluate
16b2×60b−100
Solution
More Steps

Evaluate
16b2×60b
Multiply the terms
960b2×b
Multiply the terms with the same base by adding their exponents
960b2+1
Add the numbers
960b3
960b3−100
Show Solution

Factor the expression
20(48b3−5)
Evaluate
16b2×60b−100
Multiply
More Steps

Evaluate
16b2×60b
Multiply the terms
960b2×b
Multiply the terms with the same base by adding their exponents
960b2+1
Add the numbers
960b3
960b3−100
Solution
20(48b3−5)
Show Solution

Find the roots
b=123180
Alternative Form
b≈0.470518
Evaluate
16b2×60b−100
To find the roots of the expression,set the expression equal to 0
16b2×60b−100=0
Multiply
More Steps

Multiply the terms
16b2×60b
Multiply the terms
960b2×b
Multiply the terms with the same base by adding their exponents
960b2+1
Add the numbers
960b3
960b3−100=0
Move the constant to the right-hand side and change its sign
960b3=0+100
Removing 0 doesn't change the value,so remove it from the expression
960b3=100
Divide both sides
960960b3=960100
Divide the numbers
b3=960100
Cancel out the common factor 20
b3=485
Take the 3-th root on both sides of the equation
3b3=3485
Calculate
b=3485
Solution
More Steps

Evaluate
3485
To take a root of a fraction,take the root of the numerator and denominator separately
34835
Simplify the radical expression
More Steps

Evaluate
348
Write the expression as a product where the root of one of the factors can be evaluated
38×6
Write the number in exponential form with the base of 2
323×6
The root of a product is equal to the product of the roots of each factor
323×36
Reduce the index of the radical and exponent with 3
236
23635
Multiply by the Conjugate
236×36235×362
Simplify
236×36235×336
Multiply the numbers
More Steps

Evaluate
35×336
The product of roots with the same index is equal to the root of the product
35×36
Calculate the product
3180
236×3623180
Multiply the numbers
More Steps

Evaluate
236×362
Multiply the terms
2×6
Multiply the terms
12
123180
b=123180
Alternative Form
b≈0.470518
Show Solution
