Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
d5−3200
Evaluate
d×d4−3200
Solution
More Steps
Evaluate
d×d4
Use the product rule an×am=an+m to simplify the expression
d1+4
Add the numbers
d5
d5−3200
Show Solution
Find the roots
d=25100
Alternative Form
d≈5.023773
Evaluate
d×d4−3200
To find the roots of the expression,set the expression equal to 0
d×d4−3200=0
Multiply the terms
More Steps
Evaluate
d×d4
Use the product rule an×am=an+m to simplify the expression
d1+4
Add the numbers
d5
d5−3200=0
Move the constant to the right-hand side and change its sign
d5=0+3200
Removing 0 doesn't change the value,so remove it from the expression
d5=3200
Take the 5-th root on both sides of the equation
5d5=53200
Calculate
d=53200
Solution
More Steps
Evaluate
53200
Write the expression as a product where the root of one of the factors can be evaluated
532×100
Write the number in exponential form with the base of 2
525×100
The root of a product is equal to the product of the roots of each factor
525×5100
Reduce the index of the radical and exponent with 5
25100
d=25100
Alternative Form
d≈5.023773
Show Solution