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aksik [14]
3 years ago
11

Simplify the expression: (ab)3 (3a)2b A) ab 9 B) ab3 2 C) ab2 2 D) ab3 9 E) ab2 9

Mathematics
2 answers:
likoan [24]3 years ago
6 0

Answer:

Option E.

Step-by-step explanation:

The given expression is

\frac{(ab)^3}{(3a)^2b}

We need to find the simplified form of the given expression.

Using the distributive property of exponent we get

\frac{a^3b^3}{(3)^2a^2b}        [\becasue (ab)^x=a^xb^x]

\frac{a^3b^3}{9a^2b}

Using the quotient property of exponent we get

\frac{a^{3-2}b^{3-1}}{9}        [\becasue \frac{a^m}{a^n}=a^{m-n}]

\frac{a^{1}b^{2}}{9}

\frac{ab^{2}}{9}

The simplified form of the given expression is \frac{ab^{2}}{9}.

Therefore, the correct option is E.

alexgriva [62]3 years ago
5 0
18a^2 b^2 hope this helps
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