what is 2 to the power of 1

Exponents Calculator or e calculator is used in solving exponential forms of expressions. It is as well 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 step by step method with an accurate reply.

What is an exponent?

 An exponent is a pocket-sized number located in the upper, correct-mitt position of an exponential expression (base exponent), which indicates the power 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 accept to be numbers or constants; they tin can exist variables.

They are oft positive whole numbers, merely they can exist negative numbers, fractional numbers, irrational numbers, or complex numbers. Information technology is written every bit a pocket-size number to the correct and above the base number.

Types:

At that place are basically two types of exponents.

• Positive exponent

A positive exponent tells how many times a number is needed to exist multiplied by 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, utilise our exponent reckoner.

Instance:

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

Information technology means = 3^iv

Solution:

3*iii*3*3 = 81

4 to the 3rd power = 81

Therefore the exponent is 81

2 raised to the ability estimator.

Instance:

What is the value of exponent for 2 enhance to power nine (2 to the 9th power)

Information technology means = 2⁹

Solution:

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

ii to the 9th ability = 512

Therefore the exponent is 512.

Example :

How exercise you calculate the exponents of 5,half-dozen,7 to the ability of 4?

It means = 5^iv, half dozen⁴, 7⁴

Solution:

5*5*5*5 = 625

6*half dozen*six*6 = 1296

7*vii*seven*7 = 2401

Therefore the exponents are 625, 1296, 2401.

How to calculate the nth ability of a number?

The nth power of a base, let's say "y", ways y multiplied to itself nth time. If we are to notice the fifth ability of y, it is y*y*y*y*y.

Another solutions for the nth power reckoner are in the following table.

0.ane to the ability of 3	0.00100
0.5 to the power of 3	0.12500
0.5 to the power of 4	0.06250
1.two to the power of 4	2.07360
ane.02 to the 10th ability	1.21899
1.03 to the 10th power	i.34392
1.ii to the power of five	2.48832
1.iv to the tenth power	28.92547
1.05 to the power of 5	i.27628
1.05 to the 10th ability	1.62889
1.06 to the 10th ability	1.79085
2 to the 3rd power	8
2 to the power of 3	8
2 raised to the power of 4	16
2 to the power of half-dozen	64
2 to the power of 7	128
2 to the 9th ability	512
2 to the tenth power	1024
2 to the 15th power	32768
ii to the 10th power	1024
two to the power of 28	268435456
iii to the power of two	9
three to the 3 power	27
3 to the 4 power	81
3 to the 8th power	6561
iii to the ninth ability	19683
3 to the 12th power	531441
3 to what ability equals 81	3iv
4 to the power of 3	64
4 to the power of 4	256
4 to the power of vii	16384
7 to the ability of 3	343
12 to the second ability	144
2.5 to the power of 3	15.625
12 to the ability of three	1728
10 exponent 3	chiliad
24 to the second power (24two)	576
x to the power of 3	1000
iii to the power of v	243
vi to the power of 3	216
9 to the power of 3	729
ix to the power of 2	81
10 to the ability of 5	100000

Exponent Rules:

Learning the exponent rules along with log rules can make maths really easy for understanding. In that location are 7 exponent rules.

• Zero Property of exponent:

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

Example: Simplify 5⁰.

In this question, the power of base of operations is cypher, then according to the aught property of exponents, the answer of this not zippo base is one. Hence,

v⁰= 1

• Negative Belongings of exponent:

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

Instance: Simplify one/3^-2.

We volition first make the ability positive by taking reciprocal.

1/3^-2=iii²

3² = 9

• Product Property of exponent:

When 2 exponential expressions having the same not nix base and different powers are multiplied, then their powers are added over the same base.

Instance: Solve (ii⁶)(2²).

As it is obvious, bases are the same so powers are to exist added. Now

(ii⁶)(2²) = 2^six+2

2^viii =2*ii*2*2*2*two*two*2

=256

• Quotient Property of exponent:

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

Instance: Simplify 3^vii /3^two

iii^vii/ three²=3^7-2

35=3*3*3*3*3

= 243

• Power of a Power Property:

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

Example: Solve: ( xⁱⁱ)³.

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

(10²)ⁱⁱⁱ=10^2*3

= x⁶

• Power of a product holding:

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

Example: Simplify (iv*5)²

four ² * five ² =16* 25

= 400

• Power of a Quotient Holding:

It is the same as the ability of a product property. Power belongs separately to both the numerator and denominator.

Example: Solve (2/three)²

(ii/three)²=iiⁱⁱ / 3ⁱⁱ

2²/ three²=4/9

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

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