Answer:
The final simplification is (32p^-15).
Step-by-step explanation:
Given:
(2p^-3)^5 we have to simplify.
Property to be used:(Power rule)
Power rule states that: [tex](a^x)^y=a^x^y[/tex] ...the exponents were multiplied.
Using power rule.
We have,
⇒[tex](2p^-3)^5[/tex]
⇒[tex](2^5)(p^-3^*5)[/tex] ...taking exponents individually.
⇒[tex]32(p^-^1^5)[/tex] ...[tex]2^5=2*2*2*2*2=32[/tex]
⇒[tex]32p^-^1^5[/tex]
So our final values are 32p^-15