Question

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Answer 1

Respuesta:

b)

$(5^{2})^{3}$ • $5^{3}$ = $5^{6}$ • $5^{3}$ = $5^{6 + 3}$ = $5^{9}$

c)

$6^{3}$ • $6^{8}$ : $6^{6}$ = $6^{3 + 8 - 6}$ = $6^{11 - 6}$ = $6^{5}$

d)

$(3^{9})^{2}$ : $(3^{2})^{5}$ = $3^{18}$ : $3^{10}$ = $3^{18 -10}$ = $3^{8}$

e)

$3^{5}$ • $(3^{10} : 3^{8} )$ = $3^{5}$ • $(3^{10 - 8} )$ = $3^{5}$ • $3^{2}$ = $3^{5 + 2}$ = $3^{8}$

f)

$(7^{10}$ • $7^{4})$ : $7^{6}$ = $7^{10 - 4}$ : $7^{6}$ = $7^{6}$ : $7^{6}$ = $7^{6 - 6}$ = $7^{0}$ = 1

g)

$9^{4}$ • $9^{3}$ • $(9^{2})^{7}$ = $9^{4}$ • $9^{3}$ • $9^{14}$ = $9^{4 + 3 + 14}$ = $9^{21}$

h)

($4^{20}$ : $4^{14}$) : ($4^{3}$ • $4^{2}$) = $(4^{20- 14} ) : (4^{3 + 2})$ = ($4^{6} : 4^{5}$) = $4^{1}$ = 4

i)

$(3^{8}$ • $3^{2})^{5}$ = $(3^{8 + 2})^{5}$ = $(3^{10})^{5} = 3^{50}$