Question

4- sendo k=3 elevado a -3 e w=3 elevado a -1, determine o valor de 30.k.w/k+w

Answer 1

$\frac{30 \times {3}^{ - 3} \times {3}^{ - 1} }{ {3}^{ - 3} + {3}^{ - 1} }$

$\frac{10 \times 3 \times {3}^{ - 3 - 1} }{ \frac{1}{ {3}^{3} } + \frac{1}{3} }$

$\frac{10 \times {3}^{ - 4 + 1} }{ \frac{1}{27} + \frac{1}{3} }$

$\frac{10 \times {3}^{ - 3} }{ \frac{1}{27} + \frac{1.9}{3 \times 9} } = \frac{10 \times {3}^{ - 3} }{ \frac{1}{27} + \frac{9}{27} } = \frac{10 \times {3}^{ - 3} }{ \frac{1 + 9}{27} }$

$\frac{10 \times {3}^{ - 3} }{ \frac{10}{27} }$

$10 \times {3}^{ - 3} \times \frac{27}{10} = 10 \times {3}^{ - 3} \times \frac{ {3}^{3} }{10}$

$\frac{10 \times {3}^{ - 3 + 3} }{10}$
$1 \times {3}^{0 } = 1 \times 1 = 1$