Question

5) reduza a uma só potência;

a)
$2 {}^{5} \div 2 {}^{3}$
b)
${7}^{8} \div {7}^{3}$
c)
${9}^{4} \div 9$
d)
${5}^{9} \div {5}^{3}$
e)
${8}^{4} \div {8}^{0}$
f)
${7}^{0} \div {7}^{0}$
g)
${5}^{m} \div {5}^{n}$
h)
${10}^{x} \div {10}^{y}$

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Answer 1

a)

${2}^{5}:{2}^{3} = 2^{5 - 3} = {2}^{2}$

b)

${7}^{8}: {7}^{3} = {7}^{8 - 3} = {7}^{5}$

c)

${9}^{4} : 9^{(1)} = 9^{4-1} = 9^3$

d)

$5^9 : 5^3 = 5^{9-3} = 5^6$

e)

$8^4 : 8^0 = 8^{4-0} = 8^4$

f)

$7^0 : 7^0 = 7^{0-0} = 7^0$

g)

$5^m : 5^n = 5^{m-n}$

h)

$10^x : 10^y = 10^{x-y}$