Video Transcript
Which of the following is equal to
46 to the power of negative one? (A) One over 46, (B) 46, (C) 45,
(D) one over 45, or (E) 0.46.
Well, what we can recall is that
we’ve got 𝑥 to the power of negative 𝑛 equals one over 𝑥 to the power of 𝑛. So, this is one of the rules that
we have of our exponents. So, from this, we can see that 𝑥
to the power of negative one is gonna be equal to one over 𝑥. So therefore, this, in fact, is
gonna be the reciprocal. So, let’s take a look at what we’ve
got. We’ve got 46 to the power of
negative one. Well, if we think of 46 as 46 over
one, then 46 to the power of negative one is gonna be the reciprocal of 46 over
one. Which is gonna give us one over 46
because what we do is we flip the numerator and the denominator to find our
reciprocal.
So therefore, we can say that
answer (A) is equal to 46 to the power of negative one. And that’s because answer (A) is
one over 46.
