Simplify the radical expression\sqrt[4]{(m+4)^8}

aortiH

aortiH

Answered question

2021-09-16

Simplify the radical expression
(m+4)84

Answer & Explanation

Latisha Oneil

Latisha Oneil

Skilled2021-09-17Added 100 answers

To simplify the given radical expressions (with fractional powers) as much as possible
The relevant rule of exponents (powers) to be applied for the present problem
Law of exponents:
akn=(ak)1n=akn
Apply the rule to the present problem to remove the radical.
akn=(ak)1n=akn
Here, a=(m+4),k=8,n=4
So,
(m+4)84=(a8)14=a84
=a2=(m+4)2=m2+8m+16
Answer: (m+4)84=m2+8m+16

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