Question
Simplify the expression
747d5−412
Evaluate
d×d4×747−412
Solution
More Steps

Evaluate
d×d4×747
Multiply the terms with the same base by adding their exponents
d1+4×747
Add the numbers
d5×747
Use the commutative property to reorder the terms
747d5
747d5−412
Show Solution

Find the roots
d=7475412×7474
Alternative Form
d≈0.8878
Evaluate
d×d4×747−412
To find the roots of the expression,set the expression equal to 0
d×d4×747−412=0
Multiply
More Steps

Multiply the terms
d×d4×747
Multiply the terms with the same base by adding their exponents
d1+4×747
Add the numbers
d5×747
Use the commutative property to reorder the terms
747d5
747d5−412=0
Move the constant to the right-hand side and change its sign
747d5=0+412
Removing 0 doesn't change the value,so remove it from the expression
747d5=412
Divide both sides
747747d5=747412
Divide the numbers
d5=747412
Take the 5-th root on both sides of the equation
5d5=5747412
Calculate
d=5747412
Solution
More Steps

Evaluate
5747412
To take a root of a fraction,take the root of the numerator and denominator separately
57475412
Multiply by the Conjugate
5747×574745412×57474
The product of roots with the same index is equal to the root of the product
5747×574745412×7474
Multiply the numbers
More Steps

Evaluate
5747×57474
The product of roots with the same index is equal to the root of the product
5747×7474
Calculate the product
57475
Reduce the index of the radical and exponent with 5
747
7475412×7474
d=7475412×7474
Alternative Form
d≈0.8878
Show Solution
