Any number raised to the power of zero is equal to For example,
To understand why, let's try to convince ourselves that First, we write down a table containing all of the powers of :
As we go down the list, the number in blue is divided by each time. Following this pattern, we must have
It doesn't matter whether the number is positive or negative, a fraction or a decimal, big or small. Raising any non-zero number to the power of zero always gives
What is
Any number raised to the power of zero is equal to So,
$12^0 =$
|
a
|
$12$ |
|
b
|
$0$ |
|
c
|
$1$ |
|
d
|
$6$ |
|
e
|
Undefined |
Simplify $2^{0} .$
|
a
|
$2$ |
|
b
|
$-1$ |
|
c
|
$0$ |
|
d
|
$1$ |
|
e
|
Undefined. |
Calculate the value of
Any number raised to the power of zero is equal to So,
What is the value of $-2\,520$ raised to the power $0?$
|
a
|
$2\,520$ |
|
b
|
$1$ |
|
c
|
$252$ |
|
d
|
$0$ |
|
e
|
$25\,200$ |
Simplify $(-1)^{0} .$
|
a
|
$1$ |
|
b
|
$0$ |
|
c
|
$-1$ |
|
d
|
Undefined. |
|
e
|
$2$ |
What is the value of
Any number raised to the power of zero is equal to So,
$\left(-\dfrac{100}{124}\right)^0=$
|
a
|
$\dfrac{100}{124}$ |
|
b
|
$-1$ |
|
c
|
$-\dfrac{100}{124}$ |
|
d
|
$0$ |
|
e
|
$1$ |
Calculate the value of $\left(\dfrac{9}{8}\right)^0.$
|
a
|
$-1$ |
|
b
|
$0$ |
|
c
|
$1$ |
|
d
|
$\dfrac{9}{8}$ |
|
e
|
$1\dfrac{1}{8}$ |
Find the value of
Any number raised to the power of zero is equal to So,
Find the value of $(9.259\,6)^0 .$
|
a
|
$9.259\,6$ |
|
b
|
$92.596$ |
|
c
|
$0$ |
|
d
|
$1$ |
|
e
|
$0.925\,96$ |
Calculate $(3.319\,6)^0 .$
|
a
|
$33.196$ |
|
b
|
$0$ |
|
c
|
$3.319\,6$ |
|
d
|
$0.331\,96$ |
|
e
|
$1$ |