Question

5-Reduza a uma única potência.
a) 5³ . 5 . 5²=
b) 4-³ . 4² .4 =
c) 3-² . 3-³ . 3-²=
d) 3³ ; 3²=
e) 7-² : 7-³=
f) 2³ : 2-³ : 2-³=

6-Resolva as equações exponenciais:
a) 2˟ = 128=
b) 3²˟ = 243 =
c) 5˟ = 1/125=
d) 2˟-² = 512=
e) 8˟ = 1/16 =
f) ( 1/125 )˟ = 25=

Answer 1

Resposta:

5...

a)$5^{3+1+2}=5^{6}$

b)$4^{-3+2+1}=4^{0}=1$

c)$3^{-2-3-2}=3^{-7}$

d)$3^{3-2}=3^{1}$

e)$7^{-2-3}=7^{-5}$

f)$2^{3-3-3}=2^{-3}$

6...

a)x=7

B)2x=5...x=5/2=2,5

c)x=-3

d)x-2=9...x=9+2=11

e)

$8^{x}=\dfrac{1}{16}\\\cancell{2}^{3x}=\cancell{2}^{-4}\\3x=-4\Longrightarrow{x=-\dfrac{4}{3}}$

f)

$\dfrac{1}{125}^{x}=25\\\\5^{3x}=5^{2}\\3x=2\longrightarrow{x=\dfrac{2}{3}}$