Question

Which is equivalent to 5^12/5^3?
A. 4
B. 9
C. 5^4
D. 5^9

Answer 1

To simplify
`5^12 / 5^3` the exponents. The answer is
`5^9` (D).

Step-by-step explanation:

To simplify the expression
`5^12 / 5^3`to use the rule of dividing exponents with the same base. When dividing, we subtract the exponents. In this case, 12 - 3 = 9.

When simplifying exponents with the same base, we use the property that tells us to subtract the exponents when dividing. Therefore, for
`5^12/5^3`tract the exponent of the denominator (3) from the exponent of the numerator (12) which gives us
`5^9`.

Therefore,
`5^12 / 5^3`lent to
`5^9` ich is option D.