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

Answer:

                           

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

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

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

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

$x=2 \implies 2^{2 -2}=1\\x=3 \implies 2^{3 -2}=2\\x=4 \implies 2^{4 -2}=4\\x=5 \implies 2^{5 -2}=8\\x=6 \implies 2^{6 -2}=16$