Question
Simplify the expression
754d5−10
Evaluate
d×d4×754−10
Solution
More Steps

Evaluate
d×d4×754
Multiply the terms with the same base by adding their exponents
d1+4×754
Add the numbers
d5×754
Use the commutative property to reorder the terms
754d5
754d5−10
Show Solution

Factor the expression
2(377d5−5)
Evaluate
d×d4×754−10
Multiply
More Steps

Evaluate
d×d4×754
Multiply the terms with the same base by adding their exponents
d1+4×754
Add the numbers
d5×754
Use the commutative property to reorder the terms
754d5
754d5−10
Solution
2(377d5−5)
Show Solution

Find the roots
d=37755×3774
Alternative Form
d≈0.421236
Evaluate
d×d4×754−10
To find the roots of the expression,set the expression equal to 0
d×d4×754−10=0
Multiply
More Steps

Multiply the terms
d×d4×754
Multiply the terms with the same base by adding their exponents
d1+4×754
Add the numbers
d5×754
Use the commutative property to reorder the terms
754d5
754d5−10=0
Move the constant to the right-hand side and change its sign
754d5=0+10
Removing 0 doesn't change the value,so remove it from the expression
754d5=10
Divide both sides
754754d5=75410
Divide the numbers
d5=75410
Cancel out the common factor 2
d5=3775
Take the 5-th root on both sides of the equation
5d5=53775
Calculate
d=53775
Solution
More Steps

Evaluate
53775
To take a root of a fraction,take the root of the numerator and denominator separately
537755
Multiply by the Conjugate
5377×5377455×53774
The product of roots with the same index is equal to the root of the product
5377×5377455×3774
Multiply the numbers
More Steps

Evaluate
5377×53774
The product of roots with the same index is equal to the root of the product
5377×3774
Calculate the product
53775
Reduce the index of the radical and exponent with 5
377
37755×3774
d=37755×3774
Alternative Form
d≈0.421236
Show Solution
