Answer:
1. ³√x
Rewrite in exponential form.
[tex] {x}^{ \frac{1}{3} } [/tex]
2. -√7y
[tex] - ({7y})^{ \frac{1}{2} } [/tex]
3. ⁵√(2z²)³
[tex] ({2z²})^{ \frac{3}{5} } [/tex]
4. ⁴√3³m^-6
Using x^-n = 1/x^n, rewrite:
⁴√3³(1/m⁶)
Simplify.
⁴√27(1/m⁶)
Calculate the product.
⁴√27/m⁶
[tex]( \frac{27}{ {m}^{6} } )^{ \frac{1}{4} } [/tex]
5. ³√-x⁵
[tex] {( - x)}^{ \frac{5}{3} } [/tex]
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Answers & Comments
Answer:
1. ³√x
Rewrite in exponential form.
[tex] {x}^{ \frac{1}{3} } [/tex]
2. -√7y
Rewrite in exponential form.
[tex] - ({7y})^{ \frac{1}{2} } [/tex]
3. ⁵√(2z²)³
Rewrite in exponential form.
[tex] ({2z²})^{ \frac{3}{5} } [/tex]
4. ⁴√3³m^-6
Using x^-n = 1/x^n, rewrite:
⁴√3³(1/m⁶)
Simplify.
⁴√27(1/m⁶)
Calculate the product.
⁴√27/m⁶
Rewrite in exponential form.
[tex]( \frac{27}{ {m}^{6} } )^{ \frac{1}{4} } [/tex]
5. ³√-x⁵
Rewrite in exponential form.
[tex] {( - x)}^{ \frac{5}{3} } [/tex]