Question

Determine the value of p [a] (-1)^4×(-1)^7=(-1)^p

Answer 1

Answer:

p = 11

Step-by-step explanation:

We know base for (-1)^4 and (-1)^7 are same, ie, -1.

Applying law of exponents, ie, a^x × a^y = a^(x+y)

hence, (-1)^4×(-1)^7 = (-1)^(4+7)

=>  (-1)^11 = (-1)^p

hence p = 11