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type exponential notation with positive exponents

Divide and simplify

c^7/c^16

c ^ 16 = c ^ 7 * c ^ 9

c ^ 7 / ( c ^ 7 * c ^ 9 ) =

1 / c ^ 9 =

c ^ - 9

To divide and simplify the given expression, c^7/c^16, we can use the rule for dividing exponential expressions with the same base. According to the rule, when dividing expressions with the same base, we subtract the exponents.

In this case, both expressions have the base "c," so we can subtract the exponent of the denominator from the exponent of the numerator:

c^7/c^16 = c^(7-16)

When subtracting the exponents, we get:

c^(-9)

Thus, the simplified expression is c^(-9), which can also be written as 1/c^9.

So, c^7/c^16 simplifies to 1/c^9 or c^(-9).