Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x6−4
Evaluate
x5×x−4
Solution
More Steps
Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
x6−4
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Factor the expression
(x3−2)(x3+2)
Evaluate
x5×x−4
Evaluate
More Steps
Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
x6−4
Rewrite the expression in exponential form
(x3)2−22
Solution
(x3−2)(x3+2)
Show Solution
Find the roots
x1=−32,x2=32
Alternative Form
x1≈−1.259921,x2≈1.259921
Evaluate
x5×x−4
To find the roots of the expression,set the expression equal to 0
x5×x−4=0
Multiply the terms
More Steps
Evaluate
x5×x
Use the product rule an×am=an+m to simplify the expression
x5+1
Add the numbers
x6
x6−4=0
Move the constant to the right-hand side and change its sign
x6=0+4
Removing 0 doesn't change the value,so remove it from the expression
x6=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±64
Simplify the expression
More Steps
Evaluate
64
Write the number in exponential form with the base of 2
622
Reduce the index of the radical and exponent with 2
32
x=±32
Separate the equation into 2 possible cases
x=32x=−32
Solution
x1=−32,x2=32
Alternative Form
x1≈−1.259921,x2≈1.259921
Show Solution