answer these please if nonsense answers I will report their answers
Answers
Answer:
1-c
2-b
3-a
4-c
5-b
6-b
7-c
Step-by-step explanation:
Solutions :-
1)Given number is (-3)^-4
=> 1/(-3)⁴
Since a^-n = 1/a^n
=>1/(-3×-3×-3×-3)
=> 1/81
(-3)^-4 = 1/81
2) Given number = [{(-4/9)^3}^-2]^-1
=> (-4/9)^(3×-2×-1)
Since (a^m)^n = a^(mn)
=> (-4/9)^6
[{(-4/9)^3}^-2]^-1 = (-4/9)^6
3) Given number = (-3/5)^-6 ÷ (-3/5)^-2
=> (-3/5)^[-6-(-2)]
Since a^m / a^n = a^(m-n)
=> (-3/5)^(-6+2)
=>(-3/5)^-4
(-3/5)^-6 ÷ (-3/5)^-2 = (-3/5)^-4
4) Given number = (3/4)^-3
=>1/(3/4)^3
Since a^-n = 1/a^n
=> (4/3)^3
=>(4×4×4)/(3×3×3)
=>64/27
(-3/4)^-3 = 64/27
5)Given number = 5×10^-2
=> 5×(1/10^2)
Since a^-n = 1/a^n
=> 5×(1/100)
=> 5/100
=> 0.05
5×10^-2 = 0.05
6)Given number = (-6/5)^-1
=> 1/(-6/5)
Since a^-n = 1/a^n
=> -5/6
(-6/5)^-1 = -5/6
7) Given number = (5/12)^0
=> 1
Since a^0 = 1
(5/12)^0 = 1
Answer:-
1.c
2.b
3.a
4.c
5.b
6.b
7.d
Used formulae:-
- a^-n = 1/a^n
- a^m / a^n = a^(m-n)
- a^0 = 1
- (a/b)^m = a^m / a^n