Questions: (3^3)^2

Transcript text: b.) $\left(3^{3}\right)^{2}$

Solution

Step 1: Simplify the Expression

The given expression is $(3^3)^2$. According to the power of a power property in exponents, $(a^m)^n = a^{m \cdot n}$.

Step 2: Apply the Power of a Power Property

Using the property, we have:

\[ (3^3)^2 = 3^{3 \cdot 2} = 3^6 \]

Step 3: Calculate the Final Value

Now, calculate $3^6$:

\[ 3^6 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729 \]

\[ \boxed{729} \]

Was this solution helpful?

Unhelpful

Helpful