# How do you write the expression r*r*r*r using exponents?

Jan 8, 2017

${r}^{4}$ .Its the only answer.

Jun 13, 2017

$r \cdot r \cdot r \cdot r = {r}^{4}$

Jul 16, 2017

$r \times r \times r \times r = {r}^{4}$

#### Explanation:

The short way to write repeated addition is multiplication.

$4 + 4 + 4 + 4 + 4 = 5 \times 4 = 20$

Multiplication is a stronger operation than addition.

In a similar way, the short way to write repeated multiplication is using indices or exponents.

$4 \times 4 \times 4 \times 4 \times 4 = {4}^{5} = 1024$

Note the difference between

$r + r + r + r = 4 \times r = 4 r$

And

$r \times r \times r \times r = {r}^{4}$

Indices are stronger than multiplication, which is why in an expression with mixed operations, the order is:

powers and roots
multiply and divide