(9^3)^3 = a) 9^0 b) 9^6 c) 9^9 d) 81

The answer is:

The correct option is:

C)

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

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:

Then, calculating we have:

Hence, we have that the correct option is:

C)

Have a nice day!

The correct answer is option C)  9^9

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 (9^3)^3

To find the correct option

(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