Question

Which expression is equivalent to (3a)–2?

Answer 1

Answer:

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

Step-by-step explanation:

We have been given an expression $(3a)^{-2}$

We can see that our expression have an negative exponent.

We will use property of exponents for negative exponents to simplify our expression, which states that $x^{-b}=\frac{1}{x^{b}}$. Upon using this property we will get,

$(3a)^{-2}=\frac{1}{(3a)^{2}}$

Upon squaring 3a we will get,

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

Therefore, $\frac{1}{9a^{2}}$ will be equivalent expression of our given expression.

Answer 2

1/9a^2 is the correct answer :)