8 To The 5th Power

Exponents Reckoner or due east reckoner is used in solving exponential forms of expressions. It is also known as raised to the power reckoner.

Backdrop of exponents estimator:

This calculator solves bases with both negative exponents and positive exponents. It also provides a step by pace method with an authentic answer.

What is an exponent?

An exponent is a small number located in the upper, right-hand position of an exponential expression (base exponent), which indicates the power to which the base of operations 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 not have to be numbers or constants; they tin can exist variables.

They are often positive whole numbers, just they can exist negative numbers, fractional numbers, irrational numbers, or complex numbers. It is written every bit a pocket-size number to the correct and to a higher place the base number.

Types:

There are basically two types of exponents.

Positive exponent

A positive exponent tells how many times a number is needed to exist multiplied past itself. Use our exponent calculator to solve your questions.

Negative exponent

A negative exponent represents which fraction of the base, the solution is. To simplify exponents with power in the form of fractions, use our exponent calculator.

Example:

Calculate the exponent for the iii raised to the ability of 4 (3 to the power of four).

It means = three⁴

Solution:

3*3*3*iii = 81

4 to the 3rd power = 81

Therefore the exponent is 81

2 raised to the power calculator.

Instance:

What is the value of exponent for 2 heighten to power 9 (2 to the 9th ability)

Information technology means = 2⁹

Solution:

ii*ii*2*2*ii*2*two*ii*two = 512

2 to the 9th ability = 512

Therefore the exponent is 512.

Case :

How practice you summate the exponents of five,vi,7 to the power of 4?

It ways = five^four, vi^iv, vii⁴

Solution:

5*5*5*5 = 625

6*6*6*6 = 1296

7*7*7*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's say "y", means 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 post-obit tabular array.

0.1 to the power of iii	0.00100
0.5 to the ability of three	0.12500
0.5 to the power of iv	0.06250
ane.2 to the power of 4	two.07360
1.02 to the 10th power	1.21899
1.03 to the 10th power	ane.34392
1.2 to the power of 5	2.48832
1.4 to the 10th power	28.92547
1.05 to the ability of 5	1.27628
1.05 to the 10th power	1.62889
i.06 to the 10th ability	one.79085
2 to the 3rd power	eight
two to the power of 3	8
ii raised to the power of 4	16
2 to the power of six	64
2 to the power of seven	128
2 to the 9th power	512
ii to the tenth power	1024
two to the 15th ability	32768
2 to the 10th ability	1024
2 to the power of 28	268435456
3 to the ability of 2	9
three to the iii power	27
3 to the 4 power	81
3 to the 8th power	6561
3 to the ninth ability	19683
three to the 12th ability	531441
3 to what power equals 81	iii⁴
iv to the power of three	64
4 to the power of iv	256
4 to the ability of vii	16384
7 to the power of iii	343
12 to the second power	144
2.5 to the ability of 3	15.625
12 to the power of three	1728
10 exponent 3	1000
24 to the 2nd ability (24²)	576
10 to the power of 3	chiliad
3 to the power of 5	243
6 to the ability of 3	216
9 to the power of 3	729
9 to the power of 2	81
10 to the ability of v	100000

Exponent Rules:

Learning the exponent rules forth with log rules can make maths really easy for understanding. At that place are 7 exponent rules.

Zero Property of exponent:

Information technology means if the ability of a base is nil so the value of the solution will exist one.

Example: Simplify 5⁰.

In this question, the power of base is nix, so co-ordinate to the null holding of exponents, the answer of this non zero base is 1. Hence,

5⁰= i

Negative Property of exponent:

It means when the power of base is a negative number, then after multiplying we will have to find the reciprocal of the answer.

Instance: Simplify one/iii^-2.

We will first brand the power positive by taking reciprocal.

ane/3^-two=iii^two

3² = 9

Production Holding of exponent:

When two exponential expressions having the same non zero base and different powers are multiplied, then their powers are added over the same base of operations.

Example: Solve (2⁶)(2²).

Equally it is obvious, bases are the aforementioned so powers are to be added. Now

(2⁶)(ii²) = 2⁶⁺ⁱⁱ

2⁸ =2*two*2*2*2*2*2*2

=256

Quotient Belongings of exponent:

It is the contrary of the product belongings of exponent. When two same bases having different exponents are required to be divided, then their powers are subtracted.