Question
Simplify the expression
941d6−394
Evaluate
d×d5×941−394
Solution
More Steps

Evaluate
d×d5×941
Multiply the terms with the same base by adding their exponents
d1+5×941
Add the numbers
d6×941
Use the commutative property to reorder the terms
941d6
941d6−394
Show Solution

Find the roots
d1=−9416394×9415,d2=9416394×9415
Alternative Form
d1≈−0.864937,d2≈0.864937
Evaluate
d×d5×941−394
To find the roots of the expression,set the expression equal to 0
d×d5×941−394=0
Multiply
More Steps

Multiply the terms
d×d5×941
Multiply the terms with the same base by adding their exponents
d1+5×941
Add the numbers
d6×941
Use the commutative property to reorder the terms
941d6
941d6−394=0
Move the constant to the right-hand side and change its sign
941d6=0+394
Removing 0 doesn't change the value,so remove it from the expression
941d6=394
Divide both sides
941941d6=941394
Divide the numbers
d6=941394
Take the root of both sides of the equation and remember to use both positive and negative roots
d=±6941394
Simplify the expression
More Steps

Evaluate
6941394
To take a root of a fraction,take the root of the numerator and denominator separately
69416394
Multiply by the Conjugate
6941×694156394×69415
The product of roots with the same index is equal to the root of the product
6941×694156394×9415
Multiply the numbers
More Steps

Evaluate
6941×69415
The product of roots with the same index is equal to the root of the product
6941×9415
Calculate the product
69416
Reduce the index of the radical and exponent with 6
941
9416394×9415
d=±9416394×9415
Separate the equation into 2 possible cases
d=9416394×9415d=−9416394×9415
Solution
d1=−9416394×9415,d2=9416394×9415
Alternative Form
d1≈−0.864937,d2≈0.864937
Show Solution
