Question

Please help me!!!!! Its exponents!

Answer 1

Answer:

Please check the answer below.

Step-by-step explanation:

Considering the statement

$2^?<3^?$

If $?$ is an whole number.

Set of whole number = {0, 1, 2, 3, ....}

Example 1:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 1

$2^1<3^1$

2 < 3

So, the statement is true when x = 1

Example 2:

When statement is always true:

For x > 0, the statement will be always be true.

Lets put x = 2

$2^2<3^2$

4 < 9

So, the statement is true when x = 2

Example 3:

When statement is Never true:

For x = 0, the statement will never be true.

Lets put x = 0

$2^0<3^0$

$\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0$

$2^0=1, 3^0=1$

So,

$1<1$

Therefore, the statement is False.

Keywords: exponential number, whole number

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