Question

Indices question pls wait for picture

Answer 1

\(\large 2^{2x+2} * 7^{x+1} = 8^x * 7^{2x} \)

\(\large \frac{2^{2x+2} * 7^{x+1}}{8^x * 7^{2x}} = 1 \)

\(\large \frac{2^{2x+2} * 7^{x+1}}{2^{3x} * 7^{2x}} = 1 \)

\(\large 2^{2x+2-3x} * 7^{x+1-2x} = 1 \)

\(\large 2^{2-x} * 7^{1-x} = 1 \)

\(\large 2^{x} * 7^{x} = 2^2*7^1\)

\(\large 14^{x} = 28\)

\(\large 14^{-x} = 1/28\)