Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
53x
Evaluate
5x×15
The product of roots with the same index is equal to the root of the product
5x×15
Calculate the product
75x
Write the expression as a product where the root of one of the factors can be evaluated
25×3x
Write the number in exponential form with the base of 5
52×3x
The root of a product is equal to the product of the roots of each factor
52×3x
Solution
53x
Show Solution
Find the roots
x=0
Evaluate
5x×15
To find the roots of the expression,set the expression equal to 0
5x×15=0
Find the domain
5x×15=0,x≥0
Calculate
5x×15=0
Multiply the terms
More Steps
Evaluate
5x×15
The product of roots with the same index is equal to the root of the product
5x×15
Calculate the product
75x
Write the expression as a product where the root of one of the factors can be evaluated
25×3x
Write the number in exponential form with the base of 5
52×3x
The root of a product is equal to the product of the roots of each factor
52×3x
Reduce the index of the radical and exponent with 2
53x
53x=0
Rewrite the expression
3x=0
The only way a root could be 0 is when the radicand equals 0
3x=0
Rewrite the expression
x=0
Check if the solution is in the defined range
x=0,x≥0
Solution
x=0
Show Solution