what is the value of 7 to the fifth power
Exponents Calculator or e calculator is used in solving exponential forms of expressions. It is also known as raised to the power calculator.
Backdrop of exponents calculator:
This calculator solves bases with both negative exponents and positive exponents. It also provides a footstep by step method with an accurate answer.
What is an exponent?
An exponent is a pocket-size number located in the upper, right-hand position of an exponential expression (base exponent), which indicates the ability to which the base of the expression is raised.
The exponent of a number shows you lot how many times the number is to exist used in a multiplication. Exponents do non have to exist numbers or constants; they can be variables.
They are ofttimes positive whole numbers, but they tin can be negative numbers, fractional numbers, irrational numbers, or complex numbers. Information technology is written every bit a small number to the right and above the base number.
Types:
There are basically 2 types of exponents.
-
Positive exponent
A positive exponent tells how many times a number is needed to be multiplied by itself. Apply our exponent computer to solve your questions.
-
Negative exponent
A negative exponent represents which fraction of the base of operations, the solution is. To simplify exponents with power in the class of fractions, utilize our exponent reckoner.
Example:
Calculate the exponent for the 3 raised to the ability of 4 (3 to the power of 4).
It means = iii4
Solution:
3*3*iii*3 = 81
4 to the 3rd ability = 81
Therefore the exponent is 81
2 raised to the power calculator.
Example:
What is the value of exponent for ii heighten to ability nine (two to the 9th power)
It means = 29
Solution:
2*2*two*2*2*2*two*2*2 = 512
ii to the ninth power = 512
Therefore the exponent is 512.
Instance :
How do y'all calculate the exponents of 5,6,seven to the ability of 4?
It means = 5iv, 6iv, vii4
Solution:
v*5*5*5 = 625
6*6*6*6 = 1296
7*7*seven*7 = 2401
Therefore the exponents are 625, 1296, 2401.
How to calculate the nth power of a number?
The nth power of a base, let'southward say "y", ways y multiplied to itself nth time. If nosotros are to detect the fifth power of y, it is y*y*y*y*y.
Some other solutions for the nth power calculator are in the following tabular array.
0.ane to the power of three | 0.00100 |
0.five to the ability of 3 | 0.12500 |
0.5 to the power of 4 | 0.06250 |
1.ii to the ability of 4 | two.07360 |
1.02 to the 10th power | 1.21899 |
1.03 to the 10th power | 1.34392 |
1.2 to the power of 5 | ii.48832 |
one.4 to the 10th power | 28.92547 |
1.05 to the power of 5 | i.27628 |
1.05 to the 10th ability | ane.62889 |
1.06 to the 10th power | 1.79085 |
2 to the tertiary power | 8 |
ii to the power of 3 | 8 |
two raised to the power of 4 | 16 |
2 to the ability of 6 | 64 |
2 to the power of seven | 128 |
2 to the 9th power | 512 |
2 to the tenth power | 1024 |
2 to the 15th power | 32768 |
two to the 10th power | 1024 |
ii to the power of 28 | 268435456 |
3 to the power of 2 | ix |
3 to the three power | 27 |
3 to the 4 power | 81 |
3 to the eighth power | 6561 |
3 to the 9th power | 19683 |
3 to the 12th ability | 531441 |
3 to what ability equals 81 | iii4 |
4 to the power of iii | 64 |
4 to the power of 4 | 256 |
iv to the ability of vii | 16384 |
7 to the power of iii | 343 |
12 to the 2d power | 144 |
two.5 to the power of 3 | fifteen.625 |
12 to the power of 3 | 1728 |
10 exponent 3 | 1000 |
24 to the second power (242) | 576 |
10 to the power of three | 1000 |
3 to the ability of 5 | 243 |
6 to the power of 3 | 216 |
nine to the power of 3 | 729 |
9 to the power of ii | 81 |
x to the power of 5 | 100000 |
Exponent Rules:
Learning the exponent rules forth with log rules tin can make maths actually easy for understanding. In that location are 7 exponent rules.
- Zero Belongings of exponent:
It means if the power of a base of operations is cypher then the value of the solution volition be ane.
Case: Simplify 50.
In this question, the ability of base is null, then according to the zero belongings of exponents, the answer of this non zero base is 1. Hence,
50= 1
- Negative Property of exponent:
It ways when the power of base is a negative number, then afterwards multiplying nosotros will take to find the reciprocal of the answer.
Case: Simplify i/3-2.
Nosotros volition first make the power positive by taking reciprocal.
i/3-2=32
3ii = 9
- Production Property of exponent:
When two exponential expressions having the aforementioned not naught base of operations and different powers are multiplied, then their powers are added over the same base.
Example: Solve (26)(2ii).
Every bit it is obvious, bases are the same then powers are to exist added. Now
(twohalf dozen)(two2) = 26+two
28 =two*2*2*two*2*2*2*ii
=256
- Caliber Property of exponent:
It is the opposite of the product property of exponent. When two aforementioned bases having unlike exponents are required to be divided, so their powers are subtracted.
Case: Simplify 37 /three2
37/ 3ii=37-2
35=3*3*3*3*iii
= 243
- Power of a Ability Property:
When an exponent expression further has power, and then firstly you need to multiply the powers and then solve the expression.
Example: Solve: ( x2)iii.
Keeping in view the power of ability property of exponents, we will multiply powers.
(10ii)3=xtwo*three
= xhalf dozen
- Ability of a product property:
When a product of bases is raised to some power, the bases will possess the power separately.
Example: Simplify (4*5)2
4 two * v 2 =16* 25
= 400
- Ability of a Caliber Property:
Information technology is the same equally the power of a product holding. Power belongs separately to both the numerator and denominator.
Example: Solve (two/3)two
(ii/3)2=ii2 / 3ii
22/ 32=4/nine
Source: https://www.meracalculator.com/math/exponents.php
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