Question

1)Escreva numa só potência:
a)5² . 5⁷ . 5⁴ =
b)3¹²/3¹⁷ =
c)(2²)³ =
d)2² elevado a ³ =
e)(2³)² =
f)2³ elevado a ² =
g)3⁵. 3⁷/2 . 2¹¹ =
h)4⁶. 8⁵/16³ =
i)(3a²)⁵. (9a⁴)². (b³)⁵/ (27a²)³. (b⁵)³ =
j)y². y⁸. y⁴ =
Me ajudem porfavor

Answer 1

Resposta:

Explicação passo-a-passo:

multplicacao de potencias de mesma base, mantenha a base e some os expoentes

divisao de potencias de mesma base, mantenha a base e subtraia os expoentes

potencia elevado a potencia, multiplique os expoentes

a)5² . 5⁷ . 5⁴

2+7+4=13

$5^{13}$

b)3¹²/3¹⁷

12-17=-5

$3^{-5}$

c)(2²)³

$2^{6}$

d)2² elevado a ³

(2²)³

$2^{6}$

e)(2³)²

$2^{6}$

f)2³ elevado a ²

(2³)²

$2^{6}$

g)3⁵. 3⁷/2 . 2¹¹

5+7=12

1-11=-10

$\frac{3^{12} }{3^{-10} }$

12-10=2

3²

h)4⁶. 8⁵/16³

6+5=11

16=4²

(4²)³

$4^{6}$

$\frac{4^{11} }{4^6}$

11-6=5

$4^{5}$

i)(3a²)⁵. (9a⁴)². (b³)⁵/ (27a²)³. (b⁵)³

$\frac{15a^{10}*81a^{8}*b^{15} }{81a^{6}*b^{15} } \\\\a=10+8;b=15\\a=6;b=15\\\\\frac{a^{18}*b^{15} }{81a^{6}*b^{15} } \\\\81a=3a^{4}\\\\ (3a^{4})^{6}\\3a^{24} \\\\ \frac{a^{18} *b^{15}}{3a^{24}*b^{15} } \\\\a=18-24=-6\\b=15-15=0\\\\a^{-6}*b^{0}\\b^{0}=1\\\\a^{-6}\\\\j) y^{2}*y^{3} y^{4}\\ 2+3+4=9\\y^{9}$