Question
Simplify the expression
Solution
−62w5+62
Evaluate
310−5w4×w−1
Divide the terms
More Steps
Evaluate
310−5
Cancel out the common factor 5
62−1
Use b−a=−ba=−ba to rewrite the fraction
−621
−62w4w−1
Multiply the terms
More Steps
Multiply the terms
−62w4w
Multiply the terms
−62w4×w
Multiply the terms
More Steps
Evaluate
w4×w
Use the product rule an×am=an+m to simplify the expression
w4+1
Add the numbers
w5
−62w5
−62w5−1
Reduce fractions to a common denominator
−62w5−6262
Write all numerators above the common denominator
62−w5−62
Solution
−62w5+62
Show Solution
Find the roots
Find the roots of the algebra expression
w=−562
Alternative Form
w≈−2.282855
Evaluate
310−5w4×w−1
To find the roots of the expression,set the expression equal to 0
310−5w4×w−1=0
Divide the terms
More Steps
Evaluate
310−5
Cancel out the common factor 5
62−1
Use b−a=−ba=−ba to rewrite the fraction
−621
−62w4w−1=0
Multiply the terms
More Steps
Multiply the terms
−62w4w
Multiply the terms
−62w4×w
Multiply the terms
More Steps
Evaluate
w4×w
Use the product rule an×am=an+m to simplify the expression
w4+1
Add the numbers
w5
−62w5
−62w5−1=0
Subtract the terms
More Steps
Simplify
−62w5−1
Reduce fractions to a common denominator
−62w5−6262
Write all numerators above the common denominator
62−w5−62
Use b−a=−ba=−ba to rewrite the fraction
−62w5+62
−62w5+62=0
Simplify
−w5−62=0
Move the constant to the right side
−w5=62
Change the signs on both sides of the equation
w5=−62
Take the 5-th root on both sides of the equation
5w5=5−62
Calculate
w=5−62
Solution
w=−562
Alternative Form
w≈−2.282855
Show Solution