Question
Simplify the expression
32m4−1
Evaluate
m4×32−1
Solution
32m4−1
Show Solution

Find the roots
m1=−448,m2=448
Alternative Form
m1≈−0.420448,m2≈0.420448
Evaluate
m4×32−1
To find the roots of the expression,set the expression equal to 0
m4×32−1=0
Use the commutative property to reorder the terms
32m4−1=0
Move the constant to the right-hand side and change its sign
32m4=0+1
Removing 0 doesn't change the value,so remove it from the expression
32m4=1
Divide both sides
3232m4=321
Divide the numbers
m4=321
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±4321
Simplify the expression
More Steps

Evaluate
4321
To take a root of a fraction,take the root of the numerator and denominator separately
43241
Simplify the radical expression
4321
Simplify the radical expression
More Steps

Evaluate
432
Write the expression as a product where the root of one of the factors can be evaluated
416×2
Write the number in exponential form with the base of 2
424×2
The root of a product is equal to the product of the roots of each factor
424×42
Reduce the index of the radical and exponent with 4
242
2421
Multiply by the Conjugate
242×423423
Simplify
242×42348
Multiply the numbers
More Steps

Evaluate
242×423
Multiply the terms
2×2
Multiply the numbers
4
448
m=±448
Separate the equation into 2 possible cases
m=448m=−448
Solution
m1=−448,m2=448
Alternative Form
m1≈−0.420448,m2≈0.420448
Show Solution
