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NikAS [45]
4 years ago
8

(3^2)^6 = _____ A) 3^-4 B) 3^4 C) 3^8 D) 3^12

Mathematics
2 answers:
Sophie [7]4 years ago
7 0

Answer:

The correct answer is option D).  3^12

Step-by-step explanation:

<u>Points to remember </u>

<u>Identities </u>

(xᵃ)ᵇ = xᵃᵇ

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

It is given that (3^2)^6

<u>To find the correct option </u>

(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

valentinak56 [21]4 years ago
6 0
<h2>Hello!</h2>

The answer is:

The correct option is:

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

<h2>Why?</h2>

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}

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