Rewriting expressions - HiSET
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Rewrite the expression
as a single radical expression.
Rewrite the expression as a single radical expression.
First, rewrite each radical expression using rational exponents:

![\sqrt[3]{x} = x ^{\frac{1}{3}}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094787/gif.latex)
Multiply these expressions using the Product of Powers Property:
![\sqrt{x} \cdot \sqrt[3]{x}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094788/gif.latex)




This can be rewritten in radical form as
.
First, rewrite each radical expression using rational exponents:
Multiply these expressions using the Product of Powers Property:
This can be rewritten in radical form as .
Compare your answer with the correct one above
Rewrite as a single power of
:

Rewrite as a single power of :
Apply the properties of exponents to the expression as follows:

By the Power of a Power Property:


Restating:

By the Product of Powers of Property:

,
the correct response.
Apply the properties of exponents to the expression as follows:
By the Power of a Power Property:
Restating:
By the Product of Powers of Property:
,
the correct response.
Compare your answer with the correct one above
Rewrite the expression
as a single radical expression.
Rewrite the expression as a single radical expression.
First, rewrite each radical expression using rational exponents:

![\sqrt[3]{x} = x ^{\frac{1}{3}}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094787/gif.latex)
Multiply these expressions using the Product of Powers Property:
![\sqrt{x} \cdot \sqrt[3]{x}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094788/gif.latex)




This can be rewritten in radical form as
.
First, rewrite each radical expression using rational exponents:
Multiply these expressions using the Product of Powers Property:
This can be rewritten in radical form as .
Compare your answer with the correct one above
Rewrite as a single power of
:

Rewrite as a single power of :
Apply the properties of exponents to the expression as follows:

By the Power of a Power Property:


Restating:

By the Product of Powers of Property:

,
the correct response.
Apply the properties of exponents to the expression as follows:
By the Power of a Power Property:
Restating:
By the Product of Powers of Property:
,
the correct response.
Compare your answer with the correct one above
Rewrite the expression
as a single radical expression.
Rewrite the expression as a single radical expression.
First, rewrite each radical expression using rational exponents:

![\sqrt[3]{x} = x ^{\frac{1}{3}}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094787/gif.latex)
Multiply these expressions using the Product of Powers Property:
![\sqrt{x} \cdot \sqrt[3]{x}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094788/gif.latex)




This can be rewritten in radical form as
.
First, rewrite each radical expression using rational exponents:
Multiply these expressions using the Product of Powers Property:
This can be rewritten in radical form as .
Compare your answer with the correct one above
Rewrite as a single power of
:

Rewrite as a single power of :
Apply the properties of exponents to the expression as follows:

By the Power of a Power Property:


Restating:

By the Product of Powers of Property:

,
the correct response.
Apply the properties of exponents to the expression as follows:
By the Power of a Power Property:
Restating:
By the Product of Powers of Property:
,
the correct response.
Compare your answer with the correct one above
Rewrite the expression
as a single radical expression.
Rewrite the expression as a single radical expression.
First, rewrite each radical expression using rational exponents:

![\sqrt[3]{x} = x ^{\frac{1}{3}}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094787/gif.latex)
Multiply these expressions using the Product of Powers Property:
![\sqrt{x} \cdot \sqrt[3]{x}](//cdn-s3.varsitytutors.com/uploads/formula_image/image/1094788/gif.latex)




This can be rewritten in radical form as
.
First, rewrite each radical expression using rational exponents:
Multiply these expressions using the Product of Powers Property:
This can be rewritten in radical form as .
Compare your answer with the correct one above
Rewrite as a single power of
:

Rewrite as a single power of :
Apply the properties of exponents to the expression as follows:

By the Power of a Power Property:


Restating:

By the Product of Powers of Property:

,
the correct response.
Apply the properties of exponents to the expression as follows:
By the Power of a Power Property:
Restating:
By the Product of Powers of Property:
,
the correct response.
Compare your answer with the correct one above