Question

Does anybody know the answers to the odd questions
2x
5+3x

Answer 1

For x = -2:
`\(2^x = (1)/(4),\ 4^x = (1)/(16),\ 8 * 3^x = (8)/(9),\ 6 * 2^x = (3)/(2),\ 5 + 3^x = (46)/(9),\ 2^x - 2 = -(7)/(4).\)`

For x = 3:
`\(2^x = 8,\ 4^x = 64,\ 8 * 3^x = 216,\ 6 * 2^x = 48,\ 5 + 3^x = 32,\ 2^x - 2 = 6.\)`

(a) For x = -2:

3.
`\(2^x\)` is evaluated by taking 2 raised to the power of -2, resulting in
`\((1)/(4)\)`. This represents the reciprocal of
`\(2^2\)`.

4.
`\(4^x\)` is calculated as 4 raised to the power of -2, yielding

`\((1)/(16)\)`. This signifies the inverse of
`\(4^2\)`.

5.
`\(8 * 3^x\)` involves multiplying 8 by
`\(3^(-2)\)`, which equals
`((8)/(9)\)`. This corresponds to 8 times the reciprocal of
`\(3^2\)`.

6.
`\(6 * 2^x\)` is determined by multiplying 6 by
`\(2^(-2)\)`, resulting in
`\((3)/(2)\)`. This is equivalent to 6 times the reciprocal of
`\(2^2\)`.

7.
`\(5 + 3^x\)` is computed as
`\(5\) plus \(3^(-2)\)`, giving
`\((46)/(9)\)`. This represents 5 plus the reciprocal of
`\(3^2\)`.

8.
`\(2^x - 2\)` involves subtracting 2 from
`\(2^(-2)\)`, resulting in
`\(-(7)/(4)\)`. This is the difference between the reciprocal of
`\(2^2\)` and 2.

(b) For x = 3:

3.
`\(2^x\) is \(2^3 = 8\)`. This is 2 raised to the power of 3.

4.
`\(4^x\) is \(4^3 = 64\)`. This is 4 raised to the power of 3.

5.
`\(8 * 3^x\) is \(8 * 3^3 = 216\)`. This is
`\(8\) times \(3\) raised to the power of \(3\).6. \(6 * 2^x\) is \(6 * 2^3 = 48\)`. This is
`\(6\) times \(2\) raised to the power of \(3\).`

7.
`\(5 + 3^x\) is \(5 + 3^3 = 32\). This is \(5\) plus \(3\) raised to the power of \(3\).`

8.
`\(2^x - 2\) is \(2^3 - 2 = 6\). This is \(2\) raised to the power of \(3\), minus \(2\).`

In summary, the evaluations for both x = -2 and x = 3 provide the respective values for each expression, illustrating the impact of different values of x on the outcomes.