Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7aa
Evaluate
49a3
To take a root of a fraction,take the root of the numerator and denominator separately
49a3
Simplify the radical expression
More Steps
Evaluate
a3
Rewrite the exponent as a sum
a2+1
Use am+n=am×an to expand the expression
a2×a
The root of a product is equal to the product of the roots of each factor
a2×a
Reduce the index of the radical and exponent with 2
aa
49aa
Solution
More Steps
Evaluate
49
Write the number in exponential form with the base of 7
72
Reduce the index of the radical and exponent with 2
7
7aa
Show Solution
Find the roots
a=0
Evaluate
49a3
To find the roots of the expression,set the expression equal to 0
49a3=0
Find the domain
More Steps
Evaluate
49a3≥0
Simplify
a3≥0
The only way a base raised to an odd power can be greater than or equal to 0 is if the base is greater than or equal to 0
a≥0
49a3=0,a≥0
Calculate
49a3=0
Simplify the root
More Steps
Evaluate
49a3
To take a root of a fraction,take the root of the numerator and denominator separately
49a3
Simplify the radical expression
More Steps
Evaluate
a3
Rewrite the exponent as a sum
a2+1
Use am+n=am×an to expand the expression
a2×a
The root of a product is equal to the product of the roots of each factor
a2×a
Reduce the index of the radical and exponent with 2
aa
49aa
Simplify the radical expression
More Steps
Evaluate
49
Write the number in exponential form with the base of 7
72
Reduce the index of the radical and exponent with 2
7
7aa
7aa=0
Simplify
aa=0
Separate the equation into 2 possible cases
a=0a=0
The only way a root could be 0 is when the radicand equals 0
a=0a=0
Find the union
a=0
Check if the solution is in the defined range
a=0,a≥0
Solution
a=0
Show Solution