Explications étape par étape :
EX 58
a 12⁻¹ / 4⁻¹ = ( 3⁻¹ × 4⁻¹ ) / 4⁻¹ = 3⁻¹
b 7⁻³ / 49⁻³ = 7⁻³ / ( 7⁻³ × 7⁻³ ) = 1/7⁻³ = ( 1/7 )⁻³
c (-15)⁻² / (-3)⁻² = [ (-3)⁻² × (5)⁻² ] / (-3)⁻² = 5⁻²
d ( 3⁻² × 10⁻² ) / 5⁻²
( 3⁻² × 2⁻² × 5⁻² ) / 5⁻²
3⁻² × 2⁻²
6⁻²
e 14⁻⁴ / ( 5⁻⁴ × 7⁻⁴ )
( 2 ⁻⁴ × 7⁻⁴ ) / ( 5⁻⁴ × 7⁻⁴ )
2⁻⁴ / 5⁻⁴
(2/5)⁻⁴
f 8⁻⁵ × 1 ⁻⁵ / 4⁻⁵ = 8⁻⁵ / 4⁻⁵ = 2⁻⁵ 1⁻⁵ = 1 / 1⁵ = 1
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Verified answer
Explications étape par étape :
EX 58
a 12⁻¹ / 4⁻¹ = ( 3⁻¹ × 4⁻¹ ) / 4⁻¹ = 3⁻¹
b 7⁻³ / 49⁻³ = 7⁻³ / ( 7⁻³ × 7⁻³ ) = 1/7⁻³ = ( 1/7 )⁻³
c (-15)⁻² / (-3)⁻² = [ (-3)⁻² × (5)⁻² ] / (-3)⁻² = 5⁻²
d ( 3⁻² × 10⁻² ) / 5⁻²
( 3⁻² × 2⁻² × 5⁻² ) / 5⁻²
3⁻² × 2⁻²
6⁻²
e 14⁻⁴ / ( 5⁻⁴ × 7⁻⁴ )
( 2 ⁻⁴ × 7⁻⁴ ) / ( 5⁻⁴ × 7⁻⁴ )
2⁻⁴ / 5⁻⁴
(2/5)⁻⁴
f 8⁻⁵ × 1 ⁻⁵ / 4⁻⁵ = 8⁻⁵ / 4⁻⁵ = 2⁻⁵ 1⁻⁵ = 1 / 1⁵ = 1