Question
Simplify the expression
Solution
−1550w5−1
Evaluate
(−5w4)×310w−1
Remove the parentheses
−5w4×310w−1
Solution
More Steps
Evaluate
−5w4×310w
Multiply the terms
−1550w4×w
Multiply the terms with the same base by adding their exponents
−1550w4+1
Add the numbers
−1550w5
−1550w5−1
Show Solution
Find the roots
Find the roots of the algebra expression
w=−1550515504
Alternative Form
w≈−0.230109
Evaluate
(−5w4)×310w−1
To find the roots of the expression,set the expression equal to 0
(−5w4)×310w−1=0
Remove the parentheses
−5w4×310w−1=0
Multiply
More Steps
Multiply the terms
−5w4×310w
Multiply the terms
−1550w4×w
Multiply the terms with the same base by adding their exponents
−1550w4+1
Add the numbers
−1550w5
−1550w5−1=0
Move the constant to the right-hand side and change its sign
−1550w5=0+1
Removing 0 doesn't change the value,so remove it from the expression
−1550w5=1
Change the signs on both sides of the equation
1550w5=−1
Divide both sides
15501550w5=1550−1
Divide the numbers
w5=1550−1
Use b−a=−ba=−ba to rewrite the fraction
w5=−15501
Take the 5-th root on both sides of the equation
5w5=5−15501
Calculate
w=5−15501
Solution
More Steps
Evaluate
5−15501
An odd root of a negative radicand is always a negative
−515501
To take a root of a fraction,take the root of the numerator and denominator separately
−5155051
Simplify the radical expression
−515501
Rewrite the expression
51550−1
Multiply by the Conjugate
51550×515504−515504
Multiply the numbers
More Steps
Evaluate
51550×515504
The product of roots with the same index is equal to the root of the product
51550×15504
Calculate the product
515505
Reduce the index of the radical and exponent with 5
1550
1550−515504
Calculate
−1550515504
w=−1550515504
Alternative Form
w≈−0.230109
Show Solution