Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−b158
Evaluate
(−2b−5)3
Determine the sign
−(2b−5)3
To raise a product to a power,raise each factor to that power
−23(b−5)3
Evaluate the power
−8(b−5)3
Evaluate the power
More Steps
Evaluate
(b−5)3
Multiply the exponents
b−5×3
Multiply the terms
b−15
−8b−15
Express with a positive exponent using a−n=an1
−8×b151
Rewrite the expression
b15−8
Solution
−b158
Show Solution
Find the roots
b∈∅
Evaluate
(−2b−5)3
To find the roots of the expression,set the expression equal to 0
(−2b−5)3=0
Find the domain
(−2b−5)3=0,b=0
Calculate
(−2b−5)3=0
Calculate
−8b−15=0
Change the signs on both sides of the equation
8b−15=0
Rewrite the expression
b−15=0
Rearrange the terms
b151=0
Calculate
{1=0b15=0
The statement is false for any value of b
{b∈∅b15=0
The only way a power can not be 0 is when the base not equals 0
{b∈∅b=0
Solution
b∈∅
Show Solution