Insert the corresponding expression:
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Insert the corresponding expression:
To solve this problem, we apply the Power of a Quotient Rule for exponents. This rule is applicable when both the numerator and the denominator of a fraction have the same base. The rule states:
For our problem, the expression is:
In this expression, the base is , is , and is also . We apply the rule as follows:
Calculating the exponent:
So the expression becomes:
Any number raised to the power of 0 is 1, but in this context, we are simply reducing the original expression to its simplest form. Therefore, is the correct answer.
The solution to the question is:
\( 112^0=\text{?} \)
The zero exponent rule states that any non-zero number raised to the power of 0 equals 1. Think of it as: because any number divided by itself is 1!
Only when the bases are the same! For , subtract to get . If bases are different, you can't use this rule.
You still subtract! If you have . Negative exponents mean you flip the fraction: .
Yes, but be careful! Canceling is another way to think about it, but writing shows you understand the exponent rule and is mathematically more precise.
Absolutely! Both methods give the same result. The exponent rule gives us , which equals 1. It's just a more algebraic way to express the answer.
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