Question

√(5-b)^8

simplifying radicals

please explain your answer too so i can understand how you did it​

Answer 1

(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625

Explanation:

The applicable rules of exponents are ...

√a = a^(1/2)

(a^b)^c = a^(bc)

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You have √((5-b)^8) = ((5 -b)^8)^(1/2)

= (5 -b)^(8/2) = (5 -b)^4

Sometimes, "simplify" means "remove parentheses".

(5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625