Question
Simplify the expression
1620000a6−600
Evaluate
a3×40500a3×40−600
Solution
More Steps

Evaluate
a3×40500a3×40
Multiply the terms with the same base by adding their exponents
a3+3×40500×40
Add the numbers
a6×40500×40
Multiply the terms
a6×1620000
Use the commutative property to reorder the terms
1620000a6
1620000a6−600
Show Solution

Factor the expression
600(2700a6−1)
Evaluate
a3×40500a3×40−600
Multiply
More Steps

Evaluate
a3×40500a3×40
Multiply the terms with the same base by adding their exponents
a3+3×40500×40
Add the numbers
a6×40500×40
Multiply the terms
a6×1620000
Use the commutative property to reorder the terms
1620000a6
1620000a6−600
Solution
600(2700a6−1)
Show Solution

Find the roots
a1=−2700627005,a2=2700627005
Alternative Form
a1≈−0.267982,a2≈0.267982
Evaluate
a3×40500a3×40−600
To find the roots of the expression,set the expression equal to 0
a3×40500a3×40−600=0
Multiply
More Steps

Multiply the terms
a3×40500a3×40
Multiply the terms with the same base by adding their exponents
a3+3×40500×40
Add the numbers
a6×40500×40
Multiply the terms
a6×1620000
Use the commutative property to reorder the terms
1620000a6
1620000a6−600=0
Move the constant to the right-hand side and change its sign
1620000a6=0+600
Removing 0 doesn't change the value,so remove it from the expression
1620000a6=600
Divide both sides
16200001620000a6=1620000600
Divide the numbers
a6=1620000600
Cancel out the common factor 600
a6=27001
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±627001
Simplify the expression
More Steps

Evaluate
627001
To take a root of a fraction,take the root of the numerator and denominator separately
6270061
Simplify the radical expression
627001
Multiply by the Conjugate
62700×627005627005
Multiply the numbers
More Steps

Evaluate
62700×627005
The product of roots with the same index is equal to the root of the product
62700×27005
Calculate the product
627006
Reduce the index of the radical and exponent with 6
2700
2700627005
a=±2700627005
Separate the equation into 2 possible cases
a=2700627005a=−2700627005
Solution
a1=−2700627005,a2=2700627005
Alternative Form
a1≈−0.267982,a2≈0.267982
Show Solution
