Question

Simplify this expression. Assume that x is nonzero.– 11.7X<-11.x?(Type exponential notation with positive exponents.)

Answer 1

If two numbers have the same base ( the number below the exponent) then the multiplication of the two of them is the number with the same base but with the sum of its exponents (rule of exponents)

`x^(-11)\cdot x^7=x^(-11+7)=x^(-4)`

On the other hand, if a number is to the power a negative number, it means that it is the reciprocal elevated to the number, in this case

`x^(-4)=((1)/(x))^4`