Question

(9^3)^3 = ____

A) 9^0
B) 9^6
C) 9^9
D) 81

Answer 1

Hello!

The answer is:

The correct option is:

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

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 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!

Answer 2

Answer:

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