Question

1°) reduza a uma só potencia :


a)5-³.5⁴=




b) 7 -⁸:7⁶=




c) (2-³)4=




d)3³:3⁵:3²=



e)(5²)³.5⁶
______ =
5⁴.(5³)²

f) (2²)⁵.(2⁴)
________ =
²³.2⁵


g) 243.9²
_______ =
3⁵.27

h)8-⁵.8³ : 8²=

alguém me ajuda pfv:(
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Answer 1

Resposta:

a) $5^{1}$

b) $7^{-14}$

c) $2^{-1}$

d) $3^{-4}$

e) $5^{2}$

f) $2^{6}$

g) $3^{1}$

h) $8^{-4}$

Explicação passo a passo:

a) $5^{-3} .5^{4}$

$5^{4-3}$

$5^{1}$

b) $7^{-8} :7^{6}$

$7^{-8-6}$

$7^{-(8+6)}$

$7^{-14}$

c) $(2^{-3} ).4$

$2^{-3} .2^{2}$

$2^{2-3}$

$2^{-1}$

d) $3^{3} :3^{5} :3^{2}$

$3^{3-5-2}$

$3^{-4}$

e) $\frac{(5^{2})^{3}.5^{6} }{5^{4}.(5^{3} )^{2} }$

$\frac{5^{2.3+6} }{5^{4+3.2} }$

$\frac{5^{6+6} }{5^{4+6} }$

$\frac{5^{12} }{5^{10} }$

$5^{12} :5^{10}$

$5^{12-10}$

$5^{2}$

f) $\frac{(2^{2} )^{5}.(2^{4} ) }{2^{3} .2^{5} }$

$\frac{2^{2.5+4} }{2^{3+5} }$

$\frac{2^{10+4} }{2^{8} }$

$\frac{2^{14} }{2^{8} }$

$2^{14} :2^{8}$

$2^{14-8}$

$2^{6}$

g) $\frac{243.9^{2} }{3^{5} .27}$

$\frac{3^{5}.(3^{2})^{2} }{3^{5}.3^{3} }$

$\frac{3^{5+2.2} }{3^{5+3} }$

$\frac{3^{5+4} }{3^{8} }$

$\frac{3^{9} }{3^{8} }$

$3^{9} :3^{8}$

$3^{9-8}$

$3^{1}$

h) $8^{-5} .8^{3} :8^{2}$

$8^{-5+3-2}$

$8^{-4}$