Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
23k
Evaluate
12k
Write the expression as a product where the root of one of the factors can be evaluated
4×3k
Write the number in exponential form with the base of 2
22×3k
The root of a product is equal to the product of the roots of each factor
22×3k
Solution
23k
Show Solution
Find the roots
k=0
Evaluate
12k
To find the roots of the expression,set the expression equal to 0
12k=0
Find the domain
12k=0,k≥0
Calculate
12k=0
Simplify the root
More Steps
Evaluate
12k
Write the expression as a product where the root of one of the factors can be evaluated
4×3k
Write the number in exponential form with the base of 2
22×3k
The root of a product is equal to the product of the roots of each factor
22×3k
Reduce the index of the radical and exponent with 2
23k
23k=0
Rewrite the expression
3k=0
The only way a root could be 0 is when the radicand equals 0
3k=0
Rewrite the expression
k=0
Check if the solution is in the defined range
k=0,k≥0
Solution
k=0
Show Solution