## Algebra 1

$8/a^6$
$(5a^8/10a^6)^{-3}$ (given) $(5a^8/5/10a^6/5)^{-3}$ (divide the fraction by 5) $(a^8/2a^6)^{-3}$ (simplifying the fraction) $(a^8/a^6/2a^6/a^6)^{-3}$ (divide the fraction by $a^6$) $(a^2/2)^{-3}$ (simplifying the fraction) $(a^2)^{-3}/2^{-3}$ (distributing the exponent) $a^{-6}/1/8$ (simplifying the exponents) $(1/a^6)/1/8$ (simplifying the exponent) $(1/a^6)*8*a^6/(1/8)*8*a^6$ (multiplying by the denominators to eliminate the denominators) $8/a^6$ (simplifying the expression)