Question

Reduza a uma só potência
a) 43 x 4 2=
b) 74 x 75 =
c) 26 x 22=
d) 63 x 6 =
e) 37 x 32 =
f) 93 x 9 =

g) 5 x 52 =
h) 7 x 74 =
i) 6 x 6 =
j) 3 x 3 =
l) 92 x 94x 9 =
m) 4 x 42 x 4 =
n) 4 x 4 x 4=
0) m0 x m x m3 =
p) 15 x 153 x 154x 15 =

Answer 1

Explicação passo-a-passo:

Utilizando a propriedade de produtos de mesma base, resolvemos da seguinte forma:  basta repetir a base e somar os expoentes.

$a)~~4^3\times4^2=4^{3+2}=4^5\\ \\ b)~~7^4\times7^5=7^{4+5}=7^9\\ \\ c)~~2^6\times2^2=2^{6+2}=2^8\\ \\ d)~~6^3\times6=6^{3+1}=6^4\\ \\ e)~~3^7\times3^2=3^{7+2}=3^9\\ \\ f)~~9^3\times9=9^{3+1}=9^4$

$g)~~5\times5^2=5^{1+2}=5^3\\ \\ h)~~7\times7^4=7^{1+4}=7^5\\ \\ i)~~6\times6=6^{1+1}=6^2\\ \\ j)~~3\times3=3^{1+1}=3^2\\ \\ l)~~9^2\times9^4\times9=9^{2+4+1}=9^7\\ \\ m)~~4\times4^2\times4=4^{1+2+1}=4^4\\ \\ n)~~4\times4\times4=4^{1+1+1}=4^3\\ \\ o)~~m^0\times m\times m^3=m^{0+1+3}=m^4\\ \\ p)~~15\times15^3\times15^4\times15=15^{1+3+4+1}=15^9$