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First let's recall the negative exponent rule:
We'll apply it to the expression we received:
In the first stage, we carefully applied the above exponent rule, and since the term in the denominator is already a negative exponent, when using the mentioned rule we put the exponent of the term that was in the denominator in parentheses (this is to apply the minus sign associated with the exponent rule later), then we simplified the exponent expression that was obtained.
In the final stage, we calculated the actual numerical result of the expression we received.
Therefore, the correct answer is answer B.
\( (2^3)^6 = \)
When you have , you're dividing by a fraction! Since , dividing by means multiplying by its reciprocal .
Think of it as "flipping twice": First, the negative exponent flips the base to the denominator. Then, moving from denominator to numerator flips it back, making the exponent positive!
That works too! , so . Just remember that dividing by a fraction means multiplying by its reciprocal.
The negative sign is in the exponent, not in front of the whole expression! means "take the reciprocal", not "make it negative". The result is always positive when the base is positive.
Yes! The rule works for any positive base and any integer exponent. Just flip the negative exponent to positive when moving to the numerator.
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