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xenn [34]
3 years ago
12

(9^3)^3 = ____ A) 9^0 B) 9^6 C) 9^9 D) 81

Mathematics
2 answers:
stepan [7]3 years ago
8 0
<h2>Hello!</h2>

The answer is:

The correct option is:

C) (9^{3})^{3}=9^{9}

<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 need to keep the base and then, the new exponent will be the product between the two original exponents.

So, we are given the expression:

(9^{3})^{3}

Then, calculating we have:

(9^{3})^{3}=9^{3*3}=9^{9}

Hence, we have that the correct option is:

C) (9^{3})^{3}=9^{9}

Have a nice day!

Varvara68 [4.7K]3 years ago
8 0

Answer:

The correct answer is option C)  9^9

Step-by-step explanation:

Points to remember

<u>Identities </u>

(xᵃ)ᵇ = xᵃᵇ

xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾

xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾

It is given that (9^3)^3

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

(9^3)^3 can be written as, (9³)³

By using above identities,

(9³)³ = 9³ ˣ³

 = 9⁹

Therefore the correct answer is option C).  9^9

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