Question

What is the quotient ?

StartFraction 7 Superscript negative 6 Over 7 squared EndFraction
StartFraction 1 Over 7 Superscript 8 EndFraction
StartFraction 1 Over 7 cubed EndFraction
73
78

Answer 1

Compute stepwise using exponent rules:

(7^-6)/(7^2) = 7^{-6-2} = 7^{-8}.

Now divide by 1/7^8 (which is 7^{-8}): 7^{-8}/7^{-8} = 7^0 = 1.

Finally divide by 1/7^3 (which is 7^{-3}): 1/7^{-3} = 7^3 = 343.

So the quotient is 7^3 = 343.