Question
Simplify the expression
43g6−33000
Evaluate
1×g6×43−33000
Solution
More Steps

Evaluate
1×g6×43
Rewrite the expression
g6×43
Use the commutative property to reorder the terms
43g6
43g6−33000
Show Solution

Find the roots
g1=−43633000×435,g2=43633000×435
Alternative Form
g1≈−3.025805,g2≈3.025805
Evaluate
1×g6×43−33000
To find the roots of the expression,set the expression equal to 0
1×g6×43−33000=0
Multiply the terms
More Steps

Multiply the terms
1×g6×43
Rewrite the expression
g6×43
Use the commutative property to reorder the terms
43g6
43g6−33000=0
Move the constant to the right-hand side and change its sign
43g6=0+33000
Removing 0 doesn't change the value,so remove it from the expression
43g6=33000
Divide both sides
4343g6=4333000
Divide the numbers
g6=4333000
Take the root of both sides of the equation and remember to use both positive and negative roots
g=±64333000
Simplify the expression
More Steps

Evaluate
64333000
To take a root of a fraction,take the root of the numerator and denominator separately
643633000
Multiply by the Conjugate
643×6435633000×6435
The product of roots with the same index is equal to the root of the product
643×6435633000×435
Multiply the numbers
More Steps

Evaluate
643×6435
The product of roots with the same index is equal to the root of the product
643×435
Calculate the product
6436
Reduce the index of the radical and exponent with 6
43
43633000×435
g=±43633000×435
Separate the equation into 2 possible cases
g=43633000×435g=−43633000×435
Solution
g1=−43633000×435,g2=43633000×435
Alternative Form
g1≈−3.025805,g2≈3.025805
Show Solution
