To raise a power to a power means
to raise one exponent to another
. Whether the exponents are real, imaginary, monomials or polynomials, to simplify these problems, all we have to do is multiply the exponents together.
What does raise to the power of one mean?
Raising Numbers to the Power of One
If you raise any number to the power of 1,
the result will be that number
! … For instance, we can raise a variable to the first power.
What is raising a number to a power?
The mathematical term for raising a number to a power is “
exponentiation
.” An exponential expression has two parts: the base, which is the number you are raising, and the exponent, which is the “power.” So when you raise 2 to the 3rd power, the base is 2 and the exponent is 3.
What is anything to the power of negative 1?
Negative one is a special value for an exponent, because taking a number to the power of negative one gives its reciprocal:
x−1=1x
.
What does it mean to raise something to the power of 2?
The exponent of a number says
how many
times to use the number in a multiplication. In 8
2
the “2” says to use 8 twice in a multiplication, so 8
2
= 8 × 8 = 64. In words: 8
2
could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared” Exponents are also called Powers or Indices.
What is 3 to the O power?
Just one… don’t put anything on the table and that’s your only option. Therefore it’s consistent to say
3
0
= 1
. There are other reasons why a
0
has to be 1 – for example, you may have heard the power rule: a
( b + c )
= a
b
* a
c
.
What is 4 as a power of 2?
| n 2 n 2 2 n (sequence A001146 in the OEIS) | 2 4 16 | 3 8 256 | 4 16 65,536 | 5 32 4,294,967,296 |
|---|
What does 2 to the third power mean?
Explanation: 2 to the 3rd power can be written as
2
3
= 2 × 2 × 2
, as 2 is multiplied by itself 3 times. … In general, x
n
means that x is multiplied by itself n times.
What is the 3rd power of 5?
Explanation: 5
3
= 5 × 5 × 5 =
125
. 5
3
can also be understood as 5 cubed. Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number.
What is 10 to a negative power?
Basically, any negative exponent represents that how many times the reciprocal of the base can be multiplied. Hence,10 to the power of negative 2 can be written as
10
– 2
.
What is 10 to the negative power of 7?
Answer: 10 to the power of negative 7 is equal to
0.0000001
.
What is 10 to the negative power of 2?
| Name Power Number | tenth −1 0.1 | hundredth −2 0.01 | thousandth −3 0.001 | ten-thousandth (Myriadth) −4 0.000 1 |
|---|
What is 2 as a power of 8?
Answer: The value of 2 raised to 8
th
power i.e., 2
8
is
256
.
What are the first 10 powers of 2?
| Powers of 2 Powers of 3 Powers of 4 | 27=128 37=2187 47=16384 | 28=256 38=6561 48=65536 | 29=512 39=19683 49=262144 | 210=1024 310=59049 410=1048576 |
|---|
How do you turn a number into a power of 2?
Transforming Positive Powers of Two
The most straightforward way to convert a positive power of two into the form 2
n
is
to count the number n of divisions by 2 that it takes to reach a quotient of 1
. For example, the number 524,288 requires 19 divisions to reach 1, giving 2
19
: 524,288/2 = 262,144. 262,144/2 = 131,072.
