Відповідь:
Пояснення:
1 . 1) 4m^(- 1/8 ) = 4/ ⁸√m ; 2) - 10a^( 3/7 ) = - 10 ⁷√a³ ; 3) ( 3m )^(- 1/7 ) =
= 1/ ⁷√( 3m ) ; 4) ( a - b )^( 4/9 ) = ⁹√( a - b )⁴ ; 5) p^( 1/4 ) - b^( 3/4 ) =
= ⁴√p - ⁴√b³ .
2 . 1) ( p⁰'¹ )⁴ * p⁰'⁶ = p⁰'⁴ *р⁰'⁶ = р¹ = р ; 2) ( m^(1/3 ) )¹'² *( m^(1/5 ) )⁻¹'⁸ =
= m⁰'⁴ * m⁻⁰'³ = m⁰'¹ ; 3) [ m^( 4/7 )* m^( -1/21 ) ]/ m^( 11/21 ) =
= m^( 11/21 )/m^( 11/21 ) = m⁰ = 1 ; 4) ( a¹'² * а⁻¹'⁸ )/( a¹'⁵ * а⁻¹'¹ ) =
= а⁻⁰'⁶/а⁰'⁴ = а⁻¹ = 1/а .
3 . 1) [ a^( 4/7 ) * ⁷√a³ ]⁻³ = [ a^( 4/7 ) * a^( 3/7 ) ]⁻³ = ( a¹ )⁻³ = a⁻³ = 1/a³ ;
2) ( ⁴√x : ⁵√x³ )⁻²⁰ = [ x^( 1/4 ) : x^( 3/5 ) ]⁻²⁰ = [ x^(- 7/20 ) ]⁻²⁰ = x⁷ .
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Answers & Comments
Відповідь:
Пояснення:
1 . 1) 4m^(- 1/8 ) = 4/ ⁸√m ; 2) - 10a^( 3/7 ) = - 10 ⁷√a³ ; 3) ( 3m )^(- 1/7 ) =
= 1/ ⁷√( 3m ) ; 4) ( a - b )^( 4/9 ) = ⁹√( a - b )⁴ ; 5) p^( 1/4 ) - b^( 3/4 ) =
= ⁴√p - ⁴√b³ .
2 . 1) ( p⁰'¹ )⁴ * p⁰'⁶ = p⁰'⁴ *р⁰'⁶ = р¹ = р ; 2) ( m^(1/3 ) )¹'² *( m^(1/5 ) )⁻¹'⁸ =
= m⁰'⁴ * m⁻⁰'³ = m⁰'¹ ; 3) [ m^( 4/7 )* m^( -1/21 ) ]/ m^( 11/21 ) =
= m^( 11/21 )/m^( 11/21 ) = m⁰ = 1 ; 4) ( a¹'² * а⁻¹'⁸ )/( a¹'⁵ * а⁻¹'¹ ) =
= а⁻⁰'⁶/а⁰'⁴ = а⁻¹ = 1/а .
3 . 1) [ a^( 4/7 ) * ⁷√a³ ]⁻³ = [ a^( 4/7 ) * a^( 3/7 ) ]⁻³ = ( a¹ )⁻³ = a⁻³ = 1/a³ ;
2) ( ⁴√x : ⁵√x³ )⁻²⁰ = [ x^( 1/4 ) : x^( 3/5 ) ]⁻²⁰ = [ x^(- 7/20 ) ]⁻²⁰ = x⁷ .