Question
Simplify the expression
2x6−1
Evaluate
x5×2x−1
Solution
More Steps

Evaluate
x5×2x
Multiply the terms with the same base by adding their exponents
x5+1×2
Add the numbers
x6×2
Use the commutative property to reorder the terms
2x6
2x6−1
Show Solution

Find the roots
x1=−2632,x2=2632
Alternative Form
x1≈−0.890899,x2≈0.890899
Evaluate
x5×2x−1
To find the roots of the expression,set the expression equal to 0
x5×2x−1=0
Multiply
More Steps

Multiply the terms
x5×2x
Multiply the terms with the same base by adding their exponents
x5+1×2
Add the numbers
x6×2
Use the commutative property to reorder the terms
2x6
2x6−1=0
Move the constant to the right-hand side and change its sign
2x6=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x6=1
Divide both sides
22x6=21
Divide the numbers
x6=21
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±621
Simplify the expression
More Steps

Evaluate
621
To take a root of a fraction,take the root of the numerator and denominator separately
6261
Simplify the radical expression
621
Multiply by the Conjugate
62×625625
Simplify
62×625632
Multiply the numbers
More Steps

Evaluate
62×625
The product of roots with the same index is equal to the root of the product
62×25
Calculate the product
626
Reduce the index of the radical and exponent with 6
2
2632
x=±2632
Separate the equation into 2 possible cases
x=2632x=−2632
Solution
x1=−2632,x2=2632
Alternative Form
x1≈−0.890899,x2≈0.890899
Show Solution
