Using the Quotient Rule of Exponents, what is the exponent of 3^9÷3^7 when it is in exponential simplest form?(1 point)
The Quotient Rule of Exponents states that when dividing two numbers with the same base, you subtract the exponents.
In this case, we are dividing 3^9 by 3^7, so the quotient rule gives us 3^(9-7) = 3^2.
So the exponent of 3^9÷3^7 in exponential simplest form is 2.
To apply the quotient rule of exponents, we subtract the exponents when dividing the same base.
In this case, we have 3^9 ÷ 3^7.
By applying the quotient rule, we subtract the exponents:
3^9 ÷ 3^7 = 3^(9 - 7)
Simplifying the exponent, we get:
3^(9 - 7) = 3^2
Therefore, the exponent of 3^9 ÷ 3^7 in its simplest form is 2.
To solve this problem using the Quotient Rule of Exponents, you need to understand that when dividing two exponential expressions with the same base, you subtract their exponents.
In this case, we have 3^9 ÷ 3^7. Since the base is 3, we subtract the exponents: 9 - 7 = 2.
Therefore, the exponent of 3^9 ÷ 3^7 in exponential simplest form is 2.