Answer:
[tex]a^{6}[/tex]
-18 [tex]x^{7}[/tex]
-27 [tex]x^{9}[/tex]
-6 [tex]c^{1}[/tex]
-3 [tex]a^{2} b^{3}[/tex]
[tex]x^{14}[/tex]
-32 [tex]x^{20}[/tex]
8
6x .3x^{5} . x⁰ = 18 x^{6}
Step-by-step explanation:
[tex]a^{6}[/tex]
-18 [tex]x^{7}[/tex]
-27 [tex]x^{9}[/tex]
-6 [tex]c^{1}[/tex]
-3 [tex]a^{2} b^{3}[/tex]
[tex]x^{14}[/tex]
-32 [tex]x^{20}[/tex]
8
6x .3x^{5} . x⁰ = = 18 x^{6}
When we multiply powers then they get added like in the first question.
When they are powered further then they're multiplied.
Answer:
1) a. a² a³ = a⁶
2) (6[tex]x^{2}[/tex] ) (-3[tex]x^{5}[/tex] ) = -18 [tex]x^{7}[/tex]
3) (3[tex]x^{3}[/tex] ) (3[tex]x^{4}[/tex] ) (-3[tex]x^{2}[/tex] ) = =-27 [tex]x^{9}[/tex]
4) 18c³ ÷ -3c² = -6c
5) 9a³b⁵ ÷ -3ab² = = -3 a²b³
6) ( [tex]x^{2}[/tex] )⁷ = [tex]x^{9}[/tex]
7) ( -2 [ [tex]x^{4}[/tex] ] )⁵ = = -2 [tex]x^{9}[/tex]
8) 8x⁰ = 8
9) 6x .3[tex]x^{5}[/tex] . x⁰ = = 18 [tex]x^{6}[/tex]
Step-by-step explanation:
1) a . a².a³
= a¹ x a²x a³
= a¹⁺²⁺³
= a⁶
2) (6[tex]x^{2}[/tex] ) (-3[tex]x^{5}[/tex] )
= -18 [tex]x^{2+5}[/tex]
= -18 [tex]x^{7}[/tex]
3) (3[tex]x^{3}[/tex] ) (3[tex]x^{4}[/tex] ) (-3[tex]x^{2}[/tex] )
= -27 [tex]x^{3+4+2}[/tex]
=-27 [tex]x^{9}[/tex]
4) 18c³ ÷ -3c²
= - [tex]\frac{18}{3}[/tex] c
= -6c
5) 9a³b⁵ ÷ -3ab²
= -3 a²b³
6) ( [tex]x^{2}[/tex] )⁷
=
[tex]x^{9}[/tex]
7) ( -2 [ [tex]x^{4}[/tex] ] )⁵
= -2 [tex]x^{9}[/tex]
8) 8x⁰ = 8 x 1 = 8
9) 6x .3[tex]x^{5}[/tex] . x⁰
= 18 [tex]x^{1+5+0}[/tex]
9) 6x .3[tex]x^{5}[/tex] . x⁰
= 18 [tex]x^{6}[/tex]
