## anonymous one year ago There are (42)3 ⋅ 40 horses on a stud farm. What is the total number of horses on the farm? 0 46 47 424

1. anonymous

@Michele_Laino

2. Nnesha

first of all use ^ for exponent example 2 to the 3rd power 2^3

3. anonymous

yeah i know that

4. Nnesha

$\huge\rm (4^2)^3 \times 4^0$ so it should looks like this

5. Nnesha

two exponent rules to solve that question 1st) anything to the zero power equal to one $\huge\rm (x)^0 = 1 ~~~~(Anything)^0 =1$ and 2nd )$\huge\rm (a^m)^n=a^{m \times n}$

6. Nnesha

so 4^0 = ??

7. Nnesha

how would you simplify (4^2)^3 = ?

8. Michele_Laino

hint: using the rule of power of power and the rule of multiplication of power wityh the same basis, we can write: $\Large {\left( {{4^2}} \right)^3} \cdot {4^0} = {4^{2 \cdot 3 + 0}} = ...?$

9. Michele_Laino

with*

10. anonymous

4^6

11. Michele_Laino

correct!