Question

Copy and complet the table compare the values of 2^x-2 with the values of 2^x-2

Answer 1

#2^(x-2)

For 2

• 2^(2-2)=2⁰=1

For 3

• 2^(3-2)=2

For 4

• 2^(4-2)=2²=4

For 5

• 2^{5-2}=2³=8

For 6

• 2^{6-2}=2⁴=16

#2^x-2

For 2

• 2²-2=2

For 3

• 2³-2=6

For 4

• 2⁴-2=14

For 5

• 2⁵-2=30

For 6

• 2⁶-2=62

Answer 2

`\large \begin{array} c \cline{1-6}x & 2 & 3 & 4 & 5 & 6\\\cline{1-6} 2^x-2 &2 &6 &14& 30 & 62 \\\cline{1-6} 2^(x-2) & 1&2 & 4& 8& 16\\\cline{1-6}\end{array}`

`\large \text{$ 2^x-2 $}:`

`x=2 \implies 2^2-2=2\\x=3 \implies 2^3-2=6\\x=4 \implies 2^4-2=14\\x=5 \implies 2^5-2=30\\x=6 \implies 2^6-2=62`

`\large \text{$ 2^(x-2) $}:`

`x=2 \implies 2^(2 -2)=1\\x=3 \implies 2^(3 -2)=2\\x=4 \implies 2^(4 -2)=4\\x=5 \implies 2^(5 -2)=8\\x=6 \implies 2^(6 -2)=16`