Simplify each expression (a) root(4)(3^2) (b) root(6)((x+1)^4)

naivlingr 2021-01-15 Answered

Simplify each expression
(a) 324
(b) (x+1)46

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Expert Answer

Ayesha Gomez
Answered 2021-01-16 Author has 104 answers
a) Definition:
If a= real number and n= positive integer such that the principal nth  of a exists, then a1/n is defined as a1/n=an
Hence, if m is a positive integer, then
am/n=(a1/n)m
1/n and m/n are rational exponents of a.
Calculation:
From the above definition,
324
=(32)14
=32×14
=312
Answer: 3
b) Definition:
If a= real number and n= positive integer such that the principal nth  of a exists, then a1/n is defined as a1/n=an
Hence, if m is a positive integer, then
am/n=(a1/n)m
1/n and m/n are rational exponents of a.
Calcucation:
(x+1)46
=((x+1)4)16
=(x+1)4×16
Answer: (x+1)23
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Jeffrey Jordon
Answered 2021-10-25 Author has 2070 answers

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