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* 2^4`

To find:

The equivalent expression.

Solution:

We have,

`2^5* 2^4`

It can be written as:

`2^5* 2^4=2^(5+4)`

`2^5* 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.