Question

Which expressions are equivalent to 2 Superscript 5 times 2 Superscript 4? Check all that apply.

Answer 1

Note: Consider the given figure attached with this question.

Given:

The expression is:

$2^5\times 2^4$

To find:

The equivalent expression.

Solution:

We have,

$2^5\times 2^4$

It can be written as:

$2^5\times 2^4=2^{5+4}$

$2^5\times 2^4=2^{9}$

So, option A is correct and option B is incorrect.

Similarly, in options C, D, E,

$2\cdot 2^9=2^{10}$

$2^{10}\cdot 2^2=2^{12}$

$2^{-2}\cdot 2^{11}=2^{9}$

So, options C and D are incorrect but option E is correct.

The given expression can be written as:

$(2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)$

So, option F is correct.

Therefore, the correct options are A, E F.