Question

Rewrite using a single positive exponent.
6^5
6

Answer 1

`6^(4)`

Explanation:

using the rule of exponents

`(a^(m) )/(a^(n) )` =
`a^((m-n))`

note that 6 =
`6^(1)` , then

`(6^(5) )/(6)` =
`6^((5-1))` =
`6^(4)`

Answer 2

The rewritten expression is 6⁴

Using the rule of logarithm ;

`a^(m) ÷ a^(n) = a^(m-n)`

The expression given is ;

• 6⁵/6

The exponent of the numerator = 5

The exponent of the denominator = 1

Subtract the exponents since they have the same base

exponent = 5 - 1 = 4

6⁵/6 =
`6^(5) ÷ 6^(1) = a^(5 - 1)`

Hence , the expression is 6⁴