Question

$a) {10}^{ - 9} 10 \times {10}^{5}$
$b)( {2}^{2} {)}^{x - 1}$
$c) {4}^{4 } \div {6}^{5}$
$d) \frac{ {x}^{6} }{ {x}^{ - 2} }$

​

Answer 1

$\Large\boxed{\boxed{\boxed{{Ola\´\ }}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

a)

$\sf {10}^{ - 9} \times {10}^{1} \times {10}^{5} \\ \sf{10}^{ - 9 + 1 + 5} \\ \large\boxed{{\sf \purple {10}^{ \purple- \purple3} {}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

b)

$\sf( {2}^{2} {)}^{x - 1} > > > {2}^{2(x - 1)} = \large\boxed{{\sf \purple{2}^{ \purple2\purple x\purple-\purple2}{}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

c)

$\sf \frac{ {4}^{4} }{ {6}^{5} } > > > \frac{256}{7776} =\large\boxed{{\sf \frac{ \purple8}{ \purple2 \purple4 \purple3}{}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

d)

$\sf {x}^{6} \div {x}^{ - 2} \\ \sf {x}^{6 + 2} \\ \large\boxed{{\sf \purple {x}^{\purple8} {}}}$