Question

- Expresar cada cálculo en una sola potenda:
a) 8⁵ : 8² =
b) 7⁸ : 7⁴ =
c) 4⁵ . 4³ =
d) 6² . 6³ =
e) 2⁵ . 2³ . 2⁰ =
f) 3⁴ . 3 =
g) ( 8² )³ =
h) ( 5⁵ )⁶ =​

Answer 1

Respuesta:

Teoria de exponentes:

a)

${8}^{5} \div {8}^{2} = {8}^{5 - 2} = {8}^{3}$

b)

${7}^{8} \div {7}^{4} = {7}^{8 - 4} = {7}^{4}$

c)

${4}^{5} \times {4}^{3} = {4}^{5 + 3} = {4}^{8}$

d)

${6}^{2} \times {6}^{3} = {6}^{2 + 3} = {6}^{5}$

e)

${2}^{0} = 1$

${2}^{5} \times {2}^{3} \times {2}^{0} = {2}^{5} \times {2}^{3} \times 1$

${2}^{5} \times {2}^{3} \times 1 = {2}^{5 + 3} \times 1 = {2}^{7} \times 1$

${2}^{7}$

f)

$3 = {3}^{1}$

${3}^{4} \times {3}^{1} = {3}^{4 + 1} = {3}^{5}$

g)

$( {8}^{2} )^{3} = {8}^{2 \times 3 } = {8}^{6}$

h)

$({5}^{5} )^{6} = {5}^{5 \times 6} = {5}^{30}$

Saludos ✨