Hint: What does the quotient rule of exponents tell us to do if the base is the same? (1 point) True False Keep the base the same. Add the exponents to get 29. Subtract the exponents to get 21. The final answer is 74621

Answer 1

The quotient rule of exponents states that when you have the same base in a fraction, you should subtract the exponent in the denominator from the exponent in the numerator.

If you have a situation like this:

$$\frac{a^m}{a^n}=a^{m-n}$$

So if you have bases of the same number (e.g. $a$), you keep the base the same and subtract the exponents.

In your hint, it mentions:

• "Add the exponents to get 29" (which is incorrect for the quotient rule).
• "Subtract the exponents to get 21" (which is correct for the quotient rule).

Therefore, based on the quotient rule, if you were supposed to subtract the exponents to find the result, and if the final answer you're looking for is based on the correct interpretation of the rule, it's likely that you'd end up with a different number than the one you've listed (74621).

Based on this, whether the statement you provided is True or False depends on what exactly you're asking, but the interpretation of the quotient rule is that you should subtract the exponents.

If asked whether "the final answer is 74621" derived from correctly applying the quotient rule, that statement would be False (as it doesn't follow the proper application of the quotient rule for exponents).