Question

How do you simplify `d^3 xx d^5`?

Answer 1

`d^8`

Explanation:

using the rules of exponents

`x^m*x^n=x^(m+n)`

`d^3*d^5=d^(3+5)`

`=d^8`

Answer 2

`d^8`

Explanation:

`d^3=underbrace(d xx d xxd )_"3 times"`

`d^5=underbrace(d xxd xxd xxd xxd)_"5 times"`

`d^3xxd^5=underbrace(d xxd xxd xxd xxd xxd xxd xxd)_("8 times")=d^8`

`"this may be generalised as"`

`•color(white)(x)d^3xxd^5=d^((3+5))=d^8`