what is the exponent when its it's in simplest form?
3⁹ ➗ 3⁷
In simplest form, the expression 3⁹ ÷ 3⁷ can be written as 3².
To find the exponent when two exponential expressions with the same base are divided, you subtract the exponent of the denominator from the exponent of the numerator.
In this case, we have 3 raised to the power of 9 divided by 3 raised to the power of 7.
When dividing, we subtract the exponent of the denominator (7) from the exponent of the numerator (9):
9 - 7 = 2
Therefore, the exponent when 3⁹ is divided by 3⁷ in simplest form is 2.
When dividing two numbers with the same base, you subtract the exponents.
In this case, we have 3⁹ ÷ 3⁷. So, the exponent in its simplest form would be 9 - 7 = 2.
Therefore, 3⁹ ÷ 3⁷ simplifies to 3².