Question

17. Transforme numa única potencia
a) 5^7.5^2
b)a.a^4.a
c)7.7^3.49
d)7^10:7^4
e)3^2:3^-5
f)10^6:10^3:10​

Answer 1

a)

${5}^{7} . {5}^{2} = {5}^{9}$

b)

$a. \: {a}^{4} .a \: = {a}^{6}$

c)

$7. {7}^{3} .49 = 7. {7}^{3} . {7}^{2} = {7}^{6}$

d)

${7}^{10} \div {7}^{4} = {7}^{6}$

e)

${3}^{2} \div {3}^{ - 5} = {3}^{ - 3}$

f)

${10}^{6} \div {10}^{3 } \div 10 = {10}^{2}$