Question

Using the Quotient Rule of Exponents, what is the exponent of 39÷37 when it is in exponential simplest form?(1 point)

1 answer

The question is asking for the exponent of 39÷37 when it is in exponential simplest form.

To find the exponent, we can use the Quotient Rule of Exponents, which states that when dividing two numbers with the same base, you subtract the exponents.

In this case, the base is not given, so we can assume it to be 10, as it is the most commonly used base in exponential form. Therefore, the expression can be rewritten as:

(10^39) ÷ (10^37)

Applying the Quotient Rule of Exponents, we subtract the exponents:

10^(39-37)

Simplifying further:

10^2

Therefore, the exponent of 39÷37 when it is in exponential simplest form is 2.