Video Transcript
If 𝑥 equals root two, find 𝑥 to
the zero power.
We’ve been given the value of 𝑥
and asked to evaluate 𝑥 to the zero power. Let’s begin by substituting root
two in place of 𝑥. Doing so gives 𝑥 to the zero power
is equal to root two to the zero power.
We can then recall the law for zero
exponents, which states that if 𝑎 is any real number apart from zero, then 𝑎 to
the zero power is equal to one. Hence, the value of root two to the
zero power is one.
