Question
Simplify the expression
2800x3−960000
Evaluate
x2×2800x−960000
Solution
More Steps

Evaluate
x2×2800x
Multiply the terms with the same base by adding their exponents
x2+1×2800
Add the numbers
x3×2800
Use the commutative property to reorder the terms
2800x3
2800x3−960000
Show Solution

Factor the expression
400(7x3−2400)
Evaluate
x2×2800x−960000
Multiply
More Steps

Evaluate
x2×2800x
Multiply the terms with the same base by adding their exponents
x2+1×2800
Add the numbers
x3×2800
Use the commutative property to reorder the terms
2800x3
2800x3−960000
Solution
400(7x3−2400)
Show Solution

Find the roots
x=72314700
Alternative Form
x≈6.999028
Evaluate
x2×2800x−960000
To find the roots of the expression,set the expression equal to 0
x2×2800x−960000=0
Multiply
More Steps

Multiply the terms
x2×2800x
Multiply the terms with the same base by adding their exponents
x2+1×2800
Add the numbers
x3×2800
Use the commutative property to reorder the terms
2800x3
2800x3−960000=0
Move the constant to the right-hand side and change its sign
2800x3=0+960000
Removing 0 doesn't change the value,so remove it from the expression
2800x3=960000
Divide both sides
28002800x3=2800960000
Divide the numbers
x3=2800960000
Cancel out the common factor 400
x3=72400
Take the 3-th root on both sides of the equation
3x3=372400
Calculate
x=372400
Solution
More Steps

Evaluate
372400
To take a root of a fraction,take the root of the numerator and denominator separately
3732400
Simplify the radical expression
More Steps

Evaluate
32400
Write the expression as a product where the root of one of the factors can be evaluated
38×300
Write the number in exponential form with the base of 2
323×300
The root of a product is equal to the product of the roots of each factor
323×3300
Reduce the index of the radical and exponent with 3
23300
3723300
Multiply by the Conjugate
37×37223300×372
Simplify
37×37223300×349
Multiply the numbers
More Steps

Evaluate
3300×349
The product of roots with the same index is equal to the root of the product
3300×49
Calculate the product
314700
37×3722314700
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
72314700
x=72314700
Alternative Form
x≈6.999028
Show Solution
