Question
Simplify the expression
128x3−1
Evaluate
16x2×8x−1
Solution
More Steps

Evaluate
16x2×8x
Multiply the terms
128x2×x
Multiply the terms with the same base by adding their exponents
128x2+1
Add the numbers
128x3
128x3−1
Show Solution

Find the roots
x=834
Alternative Form
x≈0.198425
Evaluate
16x2×8x−1
To find the roots of the expression,set the expression equal to 0
16x2×8x−1=0
Multiply
More Steps

Multiply the terms
16x2×8x
Multiply the terms
128x2×x
Multiply the terms with the same base by adding their exponents
128x2+1
Add the numbers
128x3
128x3−1=0
Move the constant to the right-hand side and change its sign
128x3=0+1
Removing 0 doesn't change the value,so remove it from the expression
128x3=1
Divide both sides
128128x3=1281
Divide the numbers
x3=1281
Take the 3-th root on both sides of the equation
3x3=31281
Calculate
x=31281
Solution
More Steps

Evaluate
31281
To take a root of a fraction,take the root of the numerator and denominator separately
312831
Simplify the radical expression
31281
Simplify the radical expression
More Steps

Evaluate
3128
Write the expression as a product where the root of one of the factors can be evaluated
364×2
Write the number in exponential form with the base of 4
343×2
The root of a product is equal to the product of the roots of each factor
343×32
Reduce the index of the radical and exponent with 3
432
4321
Multiply by the Conjugate
432×322322
Simplify
432×32234
Multiply the numbers
More Steps

Evaluate
432×322
Multiply the terms
4×2
Multiply the terms
8
834
x=834
Alternative Form
x≈0.198425
Show Solution
