Question
Simplify the expression
Solution
4t5−e
Evaluate
t5×4−1×e
Use the commutative property to reorder the terms
4t5−1×e
Solution
4t5−e
Show Solution

Find the roots
Find the roots of the algebra expression
t=258e
Alternative Form
t≈0.92565
Evaluate
t5×4−1×e
To find the roots of the expression,set the expression equal to 0
t5×4−1×e=0
Use the commutative property to reorder the terms
4t5−1×e=0
Multiply the numbers
4t5−e=0
Move the constant to the right-hand side and change its sign
4t5=0+e
Add the terms
4t5=e
Divide both sides
44t5=4e
Divide the numbers
t5=4e
Take the 5-th root on both sides of the equation
5t5=54e
Calculate
t=54e
Solution
More Steps

Evaluate
54e
To take a root of a fraction,take the root of the numerator and denominator separately
545e
Multiply by the Conjugate
54×5445e×544
Simplify
54×5445e×258
Multiply the numbers
More Steps

Evaluate
5e×258
Multiply the terms
58e×2
Use the commutative property to reorder the terms
258e
54×544258e
Multiply the numbers
More Steps

Evaluate
54×544
The product of roots with the same index is equal to the root of the product
54×44
Calculate the product
545
Transform the expression
5210
Reduce the index of the radical and exponent with 5
22
22258e
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
258e
t=258e
Alternative Form
t≈0.92565
Show Solution
