We've already seen that means and that means We can extend this to have any number in the exponent, for example
The exponent says how many times the base is multiplied by itself.
Recall that is said as "five squared" and that is "five cubed." We don't have special names for larger exponents. However, we can say in several different ways:
"five raised to the seventh power,"
"five raised to the power seven,"
"five to the seventh power,"
"five to the power seven."
Raising to the power of one is special. Any number raised to the first power is itself. For example, means one copy of so
Express using an exponent.
The number is multiplied by itself times, so we have
Therefore, the answer is
$3 \times 3 \times 3 \times 3 \times 3=$
|
a
|
$3^4$ |
|
b
|
$81$ |
|
c
|
$279$ |
|
d
|
$3^5$ |
|
e
|
$3^6$ |
$0.9 \times 0.9 \times 0.9 \times 0.9 \times 0.9 \times 0.9 \times 0.9=$
|
a
|
$6 \times 0.9$ |
|
b
|
$7^{0.9}$ |
|
c
|
$0.9^6$ |
|
d
|
$7 \times 0.9$ |
|
e
|
$0.9^7$ |
$\left(-\dfrac{2}{3}\right)\times\left(-\dfrac{2}{3}\right)\times\left(-\dfrac{2}{3}\right)\times\left(-\dfrac{2}{3}\right)=$
|
a
|
$4^{-2/3}$ |
|
b
|
$\left(-\dfrac{2}{3}\right)^1$ |
|
c
|
$\left(-\dfrac{3}{2}\right)^4$ |
|
d
|
$\left( -\dfrac{2}{3} \right)^4$ |
|
e
|
$4\times\left(-\dfrac{2}{3}\right)$ |
Evaluate
The expression means multiplied by itself times. So we have
$(-4)^5=$
|
a
|
$2\,048$ |
|
b
|
$-1\,244$ |
|
c
|
$-1\,024$ |
|
d
|
$-2\,048$ |
|
e
|
$1\,024$ |
Evaluate
Any number raised to the first power is itself. So
$(-1)^1=$
|
a
|
$2$ |
|
b
|
Cannot be simplified. |
|
c
|
$1$ |
|
d
|
$-1$ |
|
e
|
$0$ |