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If 7^{(x  y)} = 343 and 7^{(x + y)} = 16807, what is the value of x?
(6)^{6.5} × (36)^{4.5} ÷ (216)^{4.5}
= (6)^{6.5} × [(6)^{2}]^{4.5} ÷ [(6)^{3}]^{4.5}
= (6)^{6.5} × (6)^{9} ÷ (6)^{13.5}
= (6)^{(6.5 + 9  13.5)}
= (6)^{2}
Solution 1
Solution 2
If m and n are whole numbers and m^{n} = 196, what is the value of (m  3)^{(n+1)} ?
m^{n} = 196
We know that 14^{2} = 196
Hence we can take m = 14 and n = 2
(m  3)^{(n+1)} = (14  3)^{(2+1)} = 11^{3} = 1331
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