Question

(3^2)^6 = _____

A) 3^-4
B) 3^4
C) 3^8
D) 3^12

Answer 1

Hello!

The answer is:

The correct option is:

D) $(3^{2})^{6}=3^{12}$

Why?

To solve the problem, we need to remember the power of a power property, it's defined by the following way:

$(a^{m})^{n}=a^{m*n}$

When we have a power of a power, we must keep the base and then, the new exponent will be the product between the two original exponents.

So, we are given the expression:

$(3^{2})^{6}$

Then, calculating we have:

$(3^{2})^{6}=3^{2*6}=3^{12}$

Hence, we have that the correct option is:

D) $(3^{2})^{6}=3^{12}$

Answer 2

Answer:

The correct answer is option D).  3^12

Step-by-step explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

It is given that (3^2)^6

To find the correct option

(3^2)^6 can be written as, (3²)⁶

By using above identities,  

(3²)⁶ = 3⁽² ˣ ⁶⁾

 = 3¹²

Therefore the correct answer is option D).  3^12