What Is 2 to the Power of 2

Exponents Reckoner or e calculator is used in solving exponential forms of expressions. It is besides known as raised to the power calculator.

Properties of exponents figurer:

This computer solves bases with both negative exponents and positive exponents. It likewise provides a pace by pace method with an accurate answer.

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 you how many times the number is to be used in a multiplication. Exponents do not take to be numbers or constants; they can be variables.

They are frequently positive whole numbers, but they can be negative numbers, partial numbers, irrational numbers, or complex numbers. Information technology is written as a pocket-sized number to the right and above the base number.

Types:

In that location are basically two types of exponents.

• Positive exponent

A positive exponent tells how many times a number is needed to be multiplied by itself. Utilize 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 grade of fractions, utilise our exponent reckoner.

Example:

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

It means = 3⁴

Solution:

three*three*3*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 2 enhance to ability 9 (2 to the ninth power)

It means = two^ix

Solution:

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

two to the 9th power = 512

Therefore the exponent is 512.

Example :

How do yous calculate the exponents of 5,6,vii to the ability of 4?

It means = 5^iv, 6^four, 7⁴

Solution:

five*v*5*5 = 625

half dozen*6*6*half-dozen = 1296

vii*vii*vii*seven = 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", means y multiplied to itself nth time. If we are to notice the fifth ability 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 3	0.00100
0.5 to the ability of iii	0.12500
0.5 to the power of iv	0.06250
1.2 to the power of 4	2.07360
ane.02 to the tenth power	1.21899
1.03 to the 10th power	1.34392
i.two to the power of 5	2.48832
1.4 to the 10th power	28.92547
1.05 to the power of 5	1.27628
ane.05 to the tenth power	1.62889
i.06 to the 10th power	i.79085
ii to the 3rd power	eight
ii to the power of 3	8
2 raised to the power of 4	xvi
2 to the power of 6	64
2 to the ability of 7	128
2 to the 9th power	512
ii to the 10th power	1024
2 to the 15th power	32768
2 to the 10th power	1024
2 to the power of 28	268435456
3 to the power of 2	9
three to the 3 power	27
3 to the iv ability	81
iii to the 8th power	6561
3 to the 9th power	19683
3 to the 12th power	531441
3 to what power equals 81	34
four to the power of three	64
iv to the power of 4	256
iv to the power of 7	16384
7 to the power of 3	343
12 to the 2nd power	144
two.5 to the power of three	15.625
12 to the ability of 3	1728
10 exponent iii	yard
24 to the second power (242)	576
10 to the power of 3	m
3 to the power of 5	243
6 to the power of iii	216
nine to the ability of three	729
ix to the ability of 2	81
10 to the ability of 5	100000

Exponent Rules:

Learning the exponent rules forth with log rules can make maths really like shooting fish in a barrel for understanding. There are 7 exponent rules.

• Zero Property of exponent:

 It means if the power of a base is aught then the value of the solution will be 1.

Example: Simplify v⁰.

In this question, the power of base of operations is zero, then according to the aught holding of exponents, the respond of this non zero base of operations is i. Hence,

v⁰= 1

• Negative Property of exponent:

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

Example: Simplify one/3^-2.

We volition first make the power positive by taking reciprocal.

1/3^-2=3²

3² = 9

• Product Property of exponent:

When two exponential expressions having the same non null base and unlike powers are multiplied, then their powers are added over the same base.

Example: Solve (2^vi)(2²).

As information technology is obvious, bases are the aforementioned then powers are to be added. At present

(2^six)(2ⁱⁱ) = 2⁶⁺²

2⁸ =2*2*ii*2*2*2*2*2

=256

• Caliber Property of exponent:

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

Example: Simplify 3⁷ /3²

3⁷/ 3²=3^seven-two

35=three*3*3*3*three

= 243

• Power of a Power Property:

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

Example: Solve: ( x²)³.

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

(x²)³=x^2*3

= 10^six

• Ability of a production property:

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

Example: Simplify (four*5)²

4 ² * 5 ² =sixteen* 25

= 400

• Ability of a Quotient Property:

Information technology is the same equally the power of a product property. Ability belongs separately to both the numerator and denominator.

Instance: Solve (2/3)²

(ii/3)²=2^two / three²

2²/ 3²=4/9

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Source: https://www.meracalculator.com/math/exponents.php

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