what is 2 to the power of 5

Exponents Calculator or e calculator is used in solving exponential forms of expressions. It is also known equally raised to the power figurer.

Properties of exponents computer:

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

What is an exponent?

 An exponent is a small number located in the upper, right-paw 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 y'all how many times the number is to be used in a multiplication. Exponents do non accept to be numbers or constants; they can be variables.

They are oftentimes positive whole numbers, just they can exist negative numbers, partial numbers, irrational numbers, or circuitous numbers. Information technology is written as a small number to the right 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 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 form of fractions, use our exponent calculator.

Case:

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

It means = 3⁴

Solution:

3*3*iii*3 = 81

4 to the third power = 81

Therefore the exponent is 81

2 raised to the ability calculator.

Instance:

What is the value of exponent for 2 raise to ability ix (2 to the ninth ability)

It means = two⁹

Solution:

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

2 to the 9th ability = 512

Therefore the exponent is 512.

Example :

How do yous calculate the exponents of 5,half dozen,7 to the power of iv?

It means = 5⁴, 6⁴, seven^iv

Solution:

v*5*v*5 = 625

6*6*6*six = 1296

vii*7*vii*vii = 2401

Therefore the exponents are 625, 1296, 2401.

How to calculate the nth ability of a number?

The nth ability of a base, let'south say "y", means y multiplied to itself nth time. If we are to discover the 5th power of y, information technology is y*y*y*y*y.

Some other solutions for the nth power figurer are in the following table.

0.1 to the power of 3	0.00100
0.5 to the power of iii	0.12500
0.5 to the power of 4	0.06250
ane.2 to the ability of four	2.07360
i.02 to the 10th ability	1.21899
1.03 to the 10th power	ane.34392
1.2 to the power of 5	two.48832
one.4 to the 10th ability	28.92547
1.05 to the power of 5	1.27628
1.05 to the 10th power	1.62889
1.06 to the 10th power	one.79085
ii to the third ability	8
two to the power of three	8
ii raised to the power of 4	xvi
ii to the power of vi	64
2 to the power of 7	128
ii to the ninth power	512
2 to the tenth power	1024
2 to the 15th power	32768
2 to the tenth power	1024
2 to the ability of 28	268435456
3 to the ability of 2	9
3 to the iii ability	27
3 to the 4 power	81
iii to the 8th power	6561
3 to the 9th power	19683
3 to the twelfth power	531441
three to what power equals 81	34
4 to the power of 3	64
four to the power of 4	256
four to the ability of 7	16384
vii to the power of three	343
12 to the 2nd power	144
2.v to the ability of three	15.625
12 to the power of 3	1728
10 exponent iii	m
24 to the second ability (242)	576
ten to the power of three	thousand
3 to the power of 5	243
vi to the power of 3	216
9 to the power of 3	729
9 to the power of 2	81
x to the power of v	100000

Exponent Rules:

Learning the exponent rules along with log rules tin make maths really easy for understanding. At that place are vii exponent rules.

• Zippo Property of exponent:

 It means if the power of a base is zip and then the value of the solution volition be 1.

Example: Simplify 5⁰.

In this question, the power of base is null, so according to the zero property of exponents, the reply of this non zero base is 1. Hence,

5⁰= 1

• Negative Holding of exponent:

Information technology means when the ability of base is a negative number, then after multiplying we will take to observe the reciprocal of the answer.

Case: Simplify 1/three^-2.

We will offset make the ability positive by taking reciprocal.

ane/three^-2=iii^two

3² = nine

• Product Property of exponent:

When two exponential expressions having the same not zilch base and unlike powers are multiplied, then their powers are added over the same base of operations.

Example: Solve (2^vi)(2²).

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

(2^half-dozen)(2²) = ii⁶⁺²

ii⁸ =two*2*2*two*ii*ii*2*2

=256

• Quotient Belongings of exponent:

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

Instance: Simplify iii⁷ /3²

3^seven/ iii²=3^7-2

35=3*3*three*3*3

= 243

• Power of a Power Holding:

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

Example: Solve: ( x²)³.

Keeping in view the power of ability property of exponents, nosotros volition multiply powers.

(tenⁱⁱ)³=x^2*three

= 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 (4*5)ⁱⁱ

4 ² * 5 ² =sixteen* 25

= 400

• Ability of a Caliber Property:

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

Example: Solve (two/3)ⁱⁱ

(2/3)²=two² / iiiⁱⁱ

2^two/ 3²=4/ix

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

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