Question

Cum se rezolva?
va rog muuuullt

Answer 1

$a) \\ \\ \frac{ {3}^{ - 4} }{ {3}^{ - 7} } = {3}^{ - 4 - ( - 7)} = {3}^{ - 4 + 7} = {3}^{3} = 27$

$b) \\ \\ {5}^{ - 11} \times {5}^{9} = {5}^{ - 11 + 9} = {5}^{ - 2} = \frac{1}{ {5}^{ - 2} } = \frac{1}{25}$

$c) \\ \\ ( \frac{3}{11}) ^{4} \times {( \frac{1}{11}) }^{ - 3} = {( \frac{3}{11}) }^{4} \times {11}^{3} = \frac{3}{11} \times {( \frac{3}{11}) }^{3} \times {11}^{3} = \frac{3}{11} \times ( \frac{3}{11} \times 11) ^{3} = \frac{3}{11} \times {3}^{3} = \frac{3 \times {3}^{3} }{11} = \frac{ {3}^{1} \times {3}^{3} }{11} = \frac{ {3}^{1 + 3} }{11} = \frac{ {3}^{4} }{11} = \frac{81}{11}$

Answer 2

a) 3^-4/3^-7=3^7/3^4=3^3=27 b)5^-2=1/25=0,04