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:

$\frac{7\cdot7\cdot7\cdot7}{3\cdot3\cdot3\cdot3\cdot3}$

Is equivalent to:

$\frac{7^4}{3^5}$