Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
66×k2
Evaluate
216k4
Rewrite the exponent as a sum
62+1k4
Use am+n=am×an to expand the expression
62×6k4
Reorder the terms
62k4×6
The root of a product is equal to the product of the roots of each factor
62k4×6
Solution
66×k2
Show Solution
Find the roots
k=0
Evaluate
216k4
To find the roots of the expression,set the expression equal to 0
216k4=0
Since the left-hand side is always positive or 0,and the right-hand side is always 0,the statement is true for any value of k
216k4=0,k∈R
Calculate
216k4=0
Simplify the root
More Steps
Evaluate
216k4
Rewrite the exponent as a sum
62+1k4
Use am+n=am×an to expand the expression
62×6k4
Reorder the terms
62k4×6
The root of a product is equal to the product of the roots of each factor
62k4×6
Reduce the index of the radical and exponent with 2
66×k2
66×k2=0
Rewrite the expression
k2=0
Solution
k=0
Show Solution