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

Sagot :

Note: Consider the given figure attached with this question.

Given:

The expression is:

[tex]2^5\times 2^4[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]2^5\times 2^4[/tex]

It can be written as:

[tex]2^5\times 2^4=2^{5+4}[/tex]

[tex]2^5\times 2^4=2^{9}[/tex]

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

Similarly, in options C, D, E,

[tex]2\cdot 2^9=2^{10}[/tex]

[tex]2^{10}\cdot 2^2=2^{12}[/tex]

[tex]2^{-2}\cdot 2^{11}=2^{9}[/tex]

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

The given expression can be written as:

[tex](2\cdot 2\cdot 2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2\cdot 2)[/tex]

So, option F is correct.

Therefore, the correct options are A, E F.