Question
Simplify the expression
45−128x3
Evaluate
45−2×64x3
Solution
45−128x3
Show Solution

Find the roots
x=83180
Alternative Form
x≈0.705777
Evaluate
45−2(64x3)
To find the roots of the expression,set the expression equal to 0
45−2(64x3)=0
Multiply the terms
45−2×64x3=0
Multiply the numbers
45−128x3=0
Move the constant to the right-hand side and change its sign
−128x3=0−45
Removing 0 doesn't change the value,so remove it from the expression
−128x3=−45
Change the signs on both sides of the equation
128x3=45
Divide both sides
128128x3=12845
Divide the numbers
x3=12845
Take the 3-th root on both sides of the equation
3x3=312845
Calculate
x=312845
Solution
More Steps

Evaluate
312845
To take a root of a fraction,take the root of the numerator and denominator separately
3128345
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
432345
Multiply by the Conjugate
432×322345×322
Simplify
432×322345×34
Multiply the numbers
More Steps

Evaluate
345×34
The product of roots with the same index is equal to the root of the product
345×4
Calculate the product
3180
432×3223180
Multiply the numbers
More Steps

Evaluate
432×322
Multiply the terms
4×2
Multiply the terms
8
83180
x=83180
Alternative Form
x≈0.705777
Show Solution
