Question

1 - Aplique as propriedades da potência.

a) a².a⁷=
b) m³.m=
c) y⁵.y⁵=
d) 8⁵÷8²=
e) m²÷m=
f) m⁵÷m²=
g) a⁵÷a⁵=
h) (3²)⁵=
i) (a²)⁶=
j) 5¯³=
k) 8³.¯²=
e) x⁷.x¯³=
m) (m.a)²=
n) (3.a)³=
o) X⁵÷X²=
p) a¯³=
q) 2¯⁴=
r) (2.5)⁷=
s) (2_3)¯³=​

Answer 1

a) a².a⁷= a⁹

b) m³.m= m⁴

c) y⁵.y⁵= y¹⁰

d) 8⁵÷8²= 8³

e) m²÷m= m

f) m⁵÷m²= m³

g) a⁵÷a⁵= a⁰ = 1

h) (3²)⁵= 3¹⁰

i) (a²)⁶= a¹²

j) 5¯³= 1/5³ = 1/125

k) 8³.¯²= 8¹ = 8

e) x⁷.x¯³= x⁴

m) (m.a)²= a²m²

n) (3.a)³= 27a³

o) X⁵÷X²= x³

p) a¯³= 1/a³

q) 2¯⁴= 1/2⁴ = 1/16

r) (2.5)⁷= 10⁷ = 10 000 000

s) (2-3)¯³ = (-1)-³ = -1-³ = -1

✨ Bom Final de Semana ✨

02/10/21

Answer 2

Resposta:

$a) \: {a}^{2} \times {a}^{7} = {a}^{2 + 7} = {a}^{9} \\ \\ b) \: {m}^{3} \times m = {m}^{3 + 1} = {m}^{4} \\ \\ c) \: {y}^{5} \times {y}^{5} = {y}^{5 + 5} = {y}^{10} \\ \\ d) \: {8}^{5} \div {8}^{2} = {8}^{5 - 2} = {8}^{3} \\ \\ e) \: {m}^{2} \div m = {m}^{2 - 1} = m \\ \\ f) \: {m}^{5} \div {m}^{2} = {m}^{5 - 2} = {m}^{3} \\ \\ g) \: {a}^{5} \div {a}^{5} = 1 \\ \\ h) ( {3}^{2} {)}^{5} = {3}^{2 \times 5} = {3}^{10} \\ \\ i) \: ( {a}^{2} {)}^{6} = {a}^{2 \times 6} = {a}^{12} \\ \\ j) \: {5}^{ - 3} = \frac{1}{{5}^{3} } \\ \\ k) \: {8}^{3 - 2} = 8 \\ \\ l) \: {x}^{7} \times {x}^{ - 3} = {x}^{7 - 3} = {x}^{4} \\ \\ m) \: (m \times {a})^{2} = {m}^{2} {a}^{2} \\ \\ n) \: (3 \times {a})^{3} = {3}^{3} {a}^{3} = 27 {a}^{3} \\ \\ o) \: {x}^{5} \div {x}^{2} = {x}^{5 - 2} = {x}^{3} \\ \\ p) \: {a}^{ - 3} = \frac{1}{{a}^{3} } \\ \\ q) \: {2}^{ - 4} = \frac{1}{ {2}^{4} } \\ \\ r) \: (2 \times {5)}^{7} = {10}^{7} \\ \\ s) \: (2 - {3})^{ - 3} = ( - {1})^{ - 3} = { - 1}^{ - 3} = - 1$