Ответ:
Объяснение:
1.a) x^5×x^4=x^(5+4)=x^9
b)3^7×3^9=13^(9+7)=3^16
c)(-4)^3×(-4)^8=-4^(3+8)=4^11
2.
a) x^3×x^7÷x^8=x^(3+7)÷x^8=x^10÷x^8=x^(10-8)=x^2
b) 2^21÷2^19×2^3=2^(21-19)×2^3=2^2×2^3=2^2+3=
2^5=2×2×2×2×2=32
3.
a) (a^5)^3=a^(5×3)=a^15
b) (-b^7)^2= -b^(7×2)= -b^14
4.
a)(2^5)^3×2^2 / 2^14=2^(5×3)×2^2 / 2^14 = 2^15×2^2 / 2^14= 2^(15+2) / 2^14 = 2^17 / 2^14 = 2^(17-14) = 2^3=2×2×2=8
b)
0,2^3×5^5= ((5)^-1)^3 ×5^5= 5^-3 × 5^5= 5^(-3+5) = 5^2=5×5=25
5.
( 35/48)^3 × (6/7)^3 × ( 1 3/5)^2= (35/48 × 6/7 )^3 × ( 1 3/5) ^2 = (( 5/8^-1) ^3 × (8/5)^2= 8/5^1= 8/5
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Answers & Comments
Ответ:
Объяснение:
1.a) x^5×x^4=x^(5+4)=x^9
b)3^7×3^9=13^(9+7)=3^16
c)(-4)^3×(-4)^8=-4^(3+8)=4^11
2.
a) x^3×x^7÷x^8=x^(3+7)÷x^8=x^10÷x^8=x^(10-8)=x^2
b) 2^21÷2^19×2^3=2^(21-19)×2^3=2^2×2^3=2^2+3=
2^5=2×2×2×2×2=32
3.
a) (a^5)^3=a^(5×3)=a^15
b) (-b^7)^2= -b^(7×2)= -b^14
4.
a)(2^5)^3×2^2 / 2^14=2^(5×3)×2^2 / 2^14 = 2^15×2^2 / 2^14= 2^(15+2) / 2^14 = 2^17 / 2^14 = 2^(17-14) = 2^3=2×2×2=8
b)
0,2^3×5^5= ((5)^-1)^3 ×5^5= 5^-3 × 5^5= 5^(-3+5) = 5^2=5×5=25
5.
( 35/48)^3 × (6/7)^3 × ( 1 3/5)^2= (35/48 × 6/7 )^3 × ( 1 3/5) ^2 = (( 5/8^-1) ^3 × (8/5)^2= 8/5^1= 8/5