Question

e)(5-²)³=
f)(2.5)³=
g) (4:7)² =
h)4-².4⁶=
i)8³.8⁴=​

Answer 1

e)

$\large{( {5}^{ - 2} )^{3} = {5}^{ -2.3} = \red{{5}^{ - 6}} = \frac{1}{ {5}^{6} } = \frac{1}{15.625} }$

f)

$\large{ {(2.5)}^{3} = \red{{10}^{3}} = 1 \: 000}$

g)

$\large{ (\frac{4}{7})^{2} = \frac{ {4}^{2} }{ {7}^{2} } = \red{\frac{16}{49}}}$

h)

$\large{ {4}^{ - 2} . {4}^{6} = {4}^{ - 2 + 6} = \red{{4}^{4}} = 256}$

i)

$\large{ {8}^{3} . {8}^{4} = {8}^{3 + 4} = \red{{8}^{7}} = 2.097.152}$