Question

How to simplify the 6th root of y^21

Answer 1

The simplified expression is   $y^{\frac{7}{2} }$

How is the given expression simplified?

$6\sqrt{y^{21} } \\\\= [(y)^{21} ]^{\frac{1}{6} }$

By applying power rule of exponents ,

   $6\sqrt{y^{21} } =$  $y^{\frac{7}{2} }$

What is power rule of exponents?

• The exponent power rule is $(a^{m} )^{n} = a^{mn}$

• Exponent times power is how you raise a number with an exponent to a power.

• When a base is raised to a power and then the entire expression is raised to another power.

• An algebraic expression can be made simpler by using the power of a power rule in exponents.

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https://brainly.com/question/819893

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Answer 2

The abbreviated form is

How is the expression that is given simplified?

by using the exponents' power rule.

What is the exponents power rule?

Exponent power rule states that

1. You increase a number with an exponent to a power by multiplying the exponent by the power.
2. when the expression as a whole is raised to a higher power after raising a base to that power
3. The power of a power rule in exponents can be used to simplify an algebraic expression.

To learn more about power rule refer to:

brainly.com/question/819893

#SPJ9