Question

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

Answer 1

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.

Answer 2

18a^2 b^2 hope this helps