Question

Select the correct answer.
Which expression is equivalent to the given expression?
(a82)3
05
OA. a 3
OB.230
oc. at
a3
OD.
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Answer 1

Answer:

B. $a^3b$

Step-by-step explanation:

Exponent Rule: $(b^m)^n = b^{mn}$

Exponent Rule: $\frac{b^m}{b^n} =b^{m-n}$

Step 1: Write expression

$\frac{(ab^2)^3}{b^5}$

Step 2: Exponent Exponents

$\frac{a^3b^6}{b^5}$

Step 3: Simplify

$a^3b$