Using the Quotient Rule of Exponents, what is the exponent of 39÷37 when it is in exponential simplest form?(1 point)
The quotient rule of exponents states that when dividing powers with the same base, you subtract the exponents.
In this case, the base is 39 and the exponents are 1 and -1. Therefore, using the quotient rule of exponents, the exponent of 39÷37 is 1 - (-1) = 1 + 1 = 2.
So, when 39÷37 is in exponential simplest form, the exponent is 2.
To simplify the expression 39 ÷ 37 using the Quotient Rule of Exponents, we need to subtract the exponents.
The Quotient Rule of Exponents states that for any non-zero numbers a and b, with positive exponents m and n respectively, the expression (a^m) ÷ (b^n) can be simplified to a^(m - n).
In this case, we have 39 ÷ 37. Since the base is the same (both are 3), we subtract the exponents (9 - 7) to get the simplified expression.
Therefore, the exponent of 39÷37 when it is in exponential simplest form is 2.
To use the Quotient Rule of Exponents, we need to have the same base. In this case, we have 39 and 37 as the bases.
The Quotient Rule of Exponents states that when we divide two exponential expressions with the same base, we subtract the exponents.
So, in this case, we have 39 divided by 37. We can write this as (39^1) / (37^1).
Now, applying the Quotient Rule of Exponents, we subtract the exponents:
(39^1) / (37^1) = 39^(1-1) / 37^(1-1) = 39^0 / 37^0
Any number raised to the power of 0 is equal to 1. So, 39^0 and 37^0 are both equal to 1.
Therefore, the expression (39^1) / (37^1) simplifies to 1.
Hence, the exponent of 39÷37 in exponential simplest form is 1.