Question
Simplify the expression
629d7−100
Evaluate
d×d6×629−100
Solution
More Steps

Evaluate
d×d6×629
Multiply the terms with the same base by adding their exponents
d1+6×629
Add the numbers
d7×629
Use the commutative property to reorder the terms
629d7
629d7−100
Show Solution

Find the roots
d=6297100×6296
Alternative Form
d≈0.768966
Evaluate
d×d6×629−100
To find the roots of the expression,set the expression equal to 0
d×d6×629−100=0
Multiply
More Steps

Multiply the terms
d×d6×629
Multiply the terms with the same base by adding their exponents
d1+6×629
Add the numbers
d7×629
Use the commutative property to reorder the terms
629d7
629d7−100=0
Move the constant to the right-hand side and change its sign
629d7=0+100
Removing 0 doesn't change the value,so remove it from the expression
629d7=100
Divide both sides
629629d7=629100
Divide the numbers
d7=629100
Take the 7-th root on both sides of the equation
7d7=7629100
Calculate
d=7629100
Solution
More Steps

Evaluate
7629100
To take a root of a fraction,take the root of the numerator and denominator separately
76297100
Multiply by the Conjugate
7629×762967100×76296
The product of roots with the same index is equal to the root of the product
7629×762967100×6296
Multiply the numbers
More Steps

Evaluate
7629×76296
The product of roots with the same index is equal to the root of the product
7629×6296
Calculate the product
76297
Reduce the index of the radical and exponent with 7
629
6297100×6296
d=6297100×6296
Alternative Form
d≈0.768966
Show Solution
