Questions: Order the expressions by choosing >, <, or =. 2^3 × 2^2 □ 2^6

Transcript text: Order the expressions by choosing $>,<$, or $=$. $2^{3} \times 2^{2}$ $\square$ $2^{6}$

Solution

Step 1: Simplify the Expressions

First, simplify the expression $2^3 \times 2^2$ .

$2^3 \times 2^2 = 2^{3+2} = 2^5$

Now, compare $2^5$ with $2^6$ .

Step 2: Compare the Expressions

We have:

Since $32 < 64$ , we have:

$2^5 < 2^6$

The expression $2^3 \times 2^2$ is less than $2^6$ . Therefore, the correct order is:

$2^3 \times 2^2 \, \boxed{<} \, 2^6$

Was this solution helpful?

Unhelpful

Helpful

Thank you for your feedback.

Copied!