Insert the corresponding expression:
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Insert the corresponding expression:
The given expression is .
To simplify this expression, we apply the Power of a Quotient Rule for exponents. This rule states that when you divide two expressions with the same base, you subtract the exponents: .
In this case, the base is the same for both the numerator and the denominator.
Thus, following the rule, we subtract the exponent of the denominator from the exponent of the numerator:
The solution to the question is:
Insert the corresponding expression:
\( \frac{9^{11}}{9^4}= \)
When you divide, you're canceling out common factors! Think of as . Two y's cancel out, leaving 5 y's = .
You still subtract! For example, . The negative exponent means one divided by that positive power.
No! This rule only works when the bases are exactly the same. You cannot simplify using this rule because x and y are different.
Great question! . Any non-zero number to the power of 0 equals 1, which makes sense because anything divided by itself equals 1!
Not at all! Once you understand the pattern, just use the rule directly. . Writing them out helps you understand why the rule works.
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