Question
Simplify the expression
8x6−9
Evaluate
x4×8x2−9
Solution
More Steps

Evaluate
x4×8x2
Multiply the terms with the same base by adding their exponents
x4+2×8
Add the numbers
x6×8
Use the commutative property to reorder the terms
8x6
8x6−9
Show Solution

Find the roots
x1=−2672,x2=2672
Alternative Form
x1≈−1.019824,x2≈1.019824
Evaluate
x4×8x2−9
To find the roots of the expression,set the expression equal to 0
x4×8x2−9=0
Multiply
More Steps

Multiply the terms
x4×8x2
Multiply the terms with the same base by adding their exponents
x4+2×8
Add the numbers
x6×8
Use the commutative property to reorder the terms
8x6
8x6−9=0
Move the constant to the right-hand side and change its sign
8x6=0+9
Removing 0 doesn't change the value,so remove it from the expression
8x6=9
Divide both sides
88x6=89
Divide the numbers
x6=89
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±689
Simplify the expression
More Steps

Evaluate
689
To take a root of a fraction,take the root of the numerator and denominator separately
6869
Simplify the radical expression
More Steps

Evaluate
69
Write the number in exponential form with the base of 3
632
Reduce the index of the radical and exponent with 2
33
6833
Simplify the radical expression
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Evaluate
68
Write the number in exponential form with the base of 2
623
Reduce the index of the radical and exponent with 3
2
233
Multiply by the Conjugate
2×233×2
Multiply the numbers
More Steps

Evaluate
33×2
Use na=mnam to expand the expression
632×2
Use na=mnam to expand the expression
632×623
The product of roots with the same index is equal to the root of the product
632×23
Calculate the product
672
2×2672
When a square root of an expression is multiplied by itself,the result is that expression
2672
x=±2672
Separate the equation into 2 possible cases
x=2672x=−2672
Solution
x1=−2672,x2=2672
Alternative Form
x1≈−1.019824,x2≈1.019824
Show Solution
