Questions: Evaluate the expression without using a calculator. [ (2^2 cdot 4)^2 ]

Transcript text: Evaluate the expression without using a calculator. \[ \left(2^{2} \cdot 4\right)^{2} \]

Solution

Step 1: Calculate \(2^2\)

First, we compute \(2^2\): \[ 2^2 = 4 \]

Step 2: Multiply by 4

Next, we multiply the result from Step 1 by 4: \[ 4 \cdot 4 = 16 \]

Step 3: Raise to the Power of 2

Finally, we raise the result from Step 2 to the power of 2: \[ 16^2 = 256 \]

\(\boxed{256}\)

Was this solution helpful?

Unhelpful

Helpful

Thank you for your feedback.

Copied!