Answer:
Oh lordy I hope this is correct
Step-by-step explanation:
Type: Irrational Numbers. Example: 1.17513698...
Type: Natural Numbers. Example: 56
Type: Rational Numbers: Example: 1/3
Type: Integers. Example: -5
Type: Whole Numbers. Example: 0
Step-by-step explanation:
Applying rules of exponents to solve the given problems;
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
For these problems, the applicable rules of exponents are;
aᵇ x aⁿ = aᵇ⁺ⁿ
aᵇ ÷ aⁿ = aᵇ⁻ⁿ
(aᵇ)ˣ = aᵇˣ
For the first problem; 4³ x 4⁵
aᵇ x aⁿ = aᵇ⁺ⁿ
4³ x 4⁵ = 4³⁺⁵ = 4⁸
Second problem: aᵇ ÷ aⁿ = aᵇ⁻ⁿ
5⁸ ÷ 5⁻² = 5⁸⁻⁽⁻²⁾ = 5⁸⁺² = 5¹⁰
Third problem; (aᵇ)ˣ = aᵇˣ
(6³)⁴ = 6³ˣ⁴ = 6¹²
Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
First simplify the expression into polynomial form,
Now factor into,
Which means the solutions are,
and then two complex solutions because determinant of the third factor 
,
Hope this helps :)
