Question

Calculati: d) $\frac{(-3)^{-4}*27^{10} }{81 ^{9} *9^{-6} }$
f)$\frac{(2^{3} )^{5}*(2 ^{-6}) ^{2} }{4^{2} }$
DAU 70 PUNCTE!

Answer 1

d) [(-3)⁻⁴×27¹⁰]/81⁹×9⁻⁶=
= [1/(-3)⁴×3³⁰]/3³⁶×1/(3²)⁶=
= (1/3⁴×3³⁰)/3³⁶×1/3¹²=
= 3²⁶/3²⁴=3²=9




f) (2³)⁵×(2⁻⁶)²/4²=
=2¹⁵×(1/2⁶)²/2⁴=
=2¹⁵×1/2¹²/2⁴=
=2³/2⁴=1/2=2⁻¹