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\frac{7^{9}}{7^{15}}
To multiply powers of the same base, add their exponents. Add 8 and 1 to get 9.
\frac{1}{7^{6}}
Rewrite 7^{15} as 7^{9}\times 7^{6}. Cancel out 7^{9} in both numerator and denominator.
\frac{1}{117649}
Calculate 7 to the power of 6 and get 117649.