Question
Simplify the expression
100u3−60
Evaluate
10u2×10u−60
Solution
More Steps

Evaluate
10u2×10u
Multiply the terms
100u2×u
Multiply the terms with the same base by adding their exponents
100u2+1
Add the numbers
100u3
100u3−60
Show Solution

Factor the expression
20(5u3−3)
Evaluate
10u2×10u−60
Multiply
More Steps

Evaluate
10u2×10u
Multiply the terms
100u2×u
Multiply the terms with the same base by adding their exponents
100u2+1
Add the numbers
100u3
100u3−60
Solution
20(5u3−3)
Show Solution

Find the roots
u=5375
Alternative Form
u≈0.843433
Evaluate
10u2×10u−60
To find the roots of the expression,set the expression equal to 0
10u2×10u−60=0
Multiply
More Steps

Multiply the terms
10u2×10u
Multiply the terms
100u2×u
Multiply the terms with the same base by adding their exponents
100u2+1
Add the numbers
100u3
100u3−60=0
Move the constant to the right-hand side and change its sign
100u3=0+60
Removing 0 doesn't change the value,so remove it from the expression
100u3=60
Divide both sides
100100u3=10060
Divide the numbers
u3=10060
Cancel out the common factor 20
u3=53
Take the 3-th root on both sides of the equation
3u3=353
Calculate
u=353
Solution
More Steps

Evaluate
353
To take a root of a fraction,take the root of the numerator and denominator separately
3533
Multiply by the Conjugate
35×35233×352
Simplify
35×35233×325
Multiply the numbers
More Steps

Evaluate
33×325
The product of roots with the same index is equal to the root of the product
33×25
Calculate the product
375
35×352375
Multiply the numbers
More Steps

Evaluate
35×352
The product of roots with the same index is equal to the root of the product
35×52
Calculate the product
353
Reduce the index of the radical and exponent with 3
5
5375
u=5375
Alternative Form
u≈0.843433
Show Solution
