3 To The Ninth Power

Exponents Calculator or e reckoner 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. Information technology also provides a stride by step method with an accurate respond.

What is an exponent?

An exponent is a small number located in the upper, correct-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 yous how many times the number is to exist used in a multiplication. Exponents do not have to be numbers or constants; they can exist variables.

They are ofttimes positive whole numbers, simply they can be negative numbers, fractional numbers, irrational numbers, or circuitous numbers. It is written as a small number to the right and above 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 be multiplied by itself. Use our exponent computer 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.

Instance:

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

It ways = 3^iv

Solution:

3*3*three*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 raise to power ix (2 to the 9th power)

It means = ii⁹

Solution:

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

2 to the ninth power = 512

Therefore the exponent is 512.

Case :

How do you calculate the exponents of 5,6,7 to the power of iv?

It ways = 5^four, six⁴, 7⁴

Solution:

5*5*v*5 = 625

6*6*half dozen*6 = 1296

seven*seven*7*7 = 2401

Therefore the exponents are 625, 1296, 2401.

How to summate the nth ability of a number?

The nth power of a base, let's say "y", means y multiplied to itself nth time. If nosotros are to find 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.

0.1 to the power of 3	0.00100
0.5 to the power of 3	0.12500
0.v to the ability of 4	0.06250
1.2 to the power of iv	2.07360
1.02 to the 10th power	1.21899
1.03 to the 10th ability	1.34392
1.2 to the ability of 5	two.48832
1.4 to the tenth power	28.92547
1.05 to the power of 5	1.27628
1.05 to the tenth power	1.62889
ane.06 to the 10th ability	1.79085
2 to the 3rd power	eight
2 to the ability of 3	8
2 raised to the power of 4	xvi
two to the power of vi	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
ii to the 10th ability	1024
two to the power of 28	268435456
3 to the ability of 2	9
3 to the 3 power	27
iii to the 4 ability	81
3 to the eighth power	6561
three to the ninth ability	19683
iii to the twelfth power	531441
3 to what power equals 81	iii⁴
iv to the ability of 3	64
4 to the power of 4	256
four to the power of 7	16384
7 to the power of 3	343
12 to the 2nd power	144
2.5 to the ability of 3	15.625
12 to the ability of 3	1728
10 exponent 3	1000
24 to the 2nd power (24^two)	576
10 to the ability of 3	thousand
3 to the power of v	243
6 to the power of three	216
9 to the ability of 3	729
9 to the power of two	81
10 to the power of 5	100000

Exponent Rules:

Learning the exponent rules forth with log rules can brand maths really easy for understanding. There are 7 exponent rules.

Zero Property of exponent:

It means if the power of a base is nil so the value of the solution will be 1.

Example: Simplify v⁰.

In this question, the ability of base is zero, then according to the zero belongings of exponents, the answer of this not zero base is 1. Hence,

5⁰= 1

Negative Property of exponent:

Information technology means when the ability of base is a negative number, then later on multiplying we volition have to find the reciprocal of the answer.

Example: Simplify 1/3^-2.

We will first make the ability positive by taking reciprocal.

1/3^-ii=iii²

3² = 9

Production Holding of exponent:

When two exponential expressions having the same not zero base of operations and different powers are multiplied, and so their powers are added over the same base.

Example: Solve (ii⁶)(2^two).

Every bit information technology is obvious, bases are the aforementioned so powers are to exist added. Now

(2⁶)(2^two) = 2⁶⁺²

2⁸ =2*2*2*two*ii*2*2*ii

=256

Quotient Belongings of exponent:

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

Example: Simplify iii⁷/3²

iii⁷/ 3²=3^vii-2

35=three*iii*3*3*3

= 243

Ability of a Ability Property:

When an exponent expression further has power, then firstly you need to multiply the powers and then solve the expression.

Case: Solve: ( x²)^three.

Keeping in view the ability of power property of exponents, we will multiply powers.

(10^two)³=10^2*three

= ten^half-dozen

Power of a production holding:

When a product of bases is raised to some ability, the bases will possess the power separately.

Example: Simplify (4*5)ⁱⁱ

4 ² * five ^two =16* 25

= 400

Power of a Quotient Property:

It is the same every bit the power of a product belongings. Power belongs separately to both the numerator and denominator.

Case: Solve (2/3)^two

(ii/three)²=2²/ 3²

two^two/ iiiⁱⁱ=4/nine