Question

7•7 • 7 •7\ 3 • 3 •3 • 3 • 3 what is an equivalent way writing the expression above?

Answer 1

Recalling the laws of exponents:

`a^n=a\cdot a\cdot a\cdot\ldots\cdot a\rightarrow\text{ n times}`

The followin expression can be rewritten using exponents:

`7\cdot7\cdot7\cdot7=7^4`
`3\cdot3\cdot3\cdot3\cdot3=3^5`

Therefore, the expression:

`(7\cdot7\cdot7\cdot7)/(3\cdot3\cdot3\cdot3\cdot3)`

Is equivalent to:

`(7^4)/(3^5)`