The simplification of [tex]\rm \sqrt{y^{3} } * \sqrt{y^{3} }[/tex] is [tex]\rm y^{3}[/tex].
Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
[tex]\rm \sqrt{y^{3} } * \sqrt{y^{3} }[/tex] is an expression.
[tex]\rm \sqrt{y^{3} } * \sqrt{y^{3} }[/tex] is an expression is given
According to the exponent property.
[tex]\rm \sqrt{y^{3} } * \sqrt{y^{3} }\\\\y^{\frac{3}{2} } *y^{\frac{3}{2} } \\\\[/tex]
when the base is the same powers get added, then
[tex]\rm y^{\frac{3}{2}+\frac{3}{2} } \\\\y^{\frac{6}{2}} \\\\y^{3}[/tex]
So the simplification of [tex]\rm \sqrt{y^{3} } * \sqrt{y^{3} }[/tex] is [tex]\rm y^{3}[/tex].
More about the exponent link is given below.
https://brainly.com/question/5497425
