Question

(p^2)^5 x (p^3)^2 just tell

Answer 1

Step-by-step explanation:

Given that :-

(p^2)^5 x (p^3)^2

=>(a^m)^n=a^mn

=>(p^2×5)×(p^3×2)

=>p^10×p^6

we know that a^m×a^n =a^(m+n)

=>p^(10+6)

=>p^16

(p^2)^5 x (p^3)^2=p^16

Answer 2

Step-by-step explanation:

To simplify it we will have to use a law of exponent and that law is:-

→ (a¹)² = (a)^1×2

Now, after applying this law in (p^2)^5 x (p^3)^2, we will get this:-

→ [(p)^2×5] × [(p)^3×2]

= (p)^10 × (p)^6

Now, both the bases are same here i.e ‘p’

So, we can use one more law of exponent i.e:-

→ (a)¹ × (a)² = (a)^1+2

Now, after applying this law in (p)^10 × (p)^6, we will get this:-

→ (p)^10 × (p)^6

= (p)^10+6

= (p)^16

Therefore, after simplifying (p^2)^5 x (p^3)^2, we will get (p)^16 as our answer.