X To The 3rd Power

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

Properties of exponents calculator:

This computer solves bases with both negative exponents and positive exponents. It as well provides a step by step method with an accurate answer.

What is an exponent?

An exponent is a pocket-sized number located in the upper, right-hand 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 can exist variables.

They are oft positive whole numbers, but they can be negative numbers, fractional numbers, irrational numbers, or complex numbers. Information technology is written every bit a small number to the correct and above the base number.

Types:

There are basically 2 types of exponents.

Positive exponent

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

Instance:

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

It means = 3^four

Solution:

3*3*3*3 = 81

4 to the 3rd power = 81

Therefore the exponent is 81

two raised to the power estimator.

Example:

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

Information technology means = ii^nine

Solution:

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

two to the 9th power = 512

Therefore the exponent is 512.

Example :

How do you calculate the exponents of 5,6,seven to the power of 4?

It means = v^iv, half dozen⁴, 7⁴

Solution:

5*5*5*5 = 625

6*6*6*half-dozen = 1296

7*vii*7*vii = 2401

Therefore the exponents are 625, 1296, 2401.

How to summate the nth ability of a number?

The nth power of a base, permit's say "y", means y multiplied to itself nth time. If we are to find the fifth power of y, information technology is y*y*y*y*y.

Some other solutions for the nth power calculator are in the post-obit table.

0.ane to the ability of iii	0.00100
0.v to the power of iii	0.12500
0.v to the power of iv	0.06250
1.2 to the power of 4	2.07360
1.02 to the tenth power	1.21899
1.03 to the 10th power	1.34392
i.2 to the power of 5	2.48832
1.four to the 10th power	28.92547
1.05 to the power of five	1.27628
1.05 to the 10th power	ane.62889
1.06 to the 10th power	ane.79085
2 to the 3rd power	8
2 to the power of 3	8
2 raised to the power of four	16
2 to the power of 6	64
2 to the power of 7	128
two to the ninth power	512
two to the tenth power	1024
2 to the 15th power	32768
ii to the 10th power	1024
ii to the power of 28	268435456
iii to the power of 2	nine
3 to the 3 power	27
3 to the 4 power	81
iii to the 8th power	6561
three to the ninth ability	19683
3 to the 12th power	531441
3 to what power equals 81	3⁴
iv to the ability of 3	64
4 to the power of 4	256
4 to the power of 7	16384
vii to the power of 3	343
12 to the second power	144
2.5 to the power of 3	xv.625
12 to the power of 3	1728
x exponent 3	1000
24 to the second power (24²)	576
10 to the ability of 3	1000
iii to the power of five	243
half dozen to the ability of iii	216
9 to the power of 3	729
nine to the power of 2	81
10 to the power of 5	100000

Exponent Rules:

Learning the exponent rules along with log rules can brand maths actually easy for understanding. In that location are vii exponent rules.

Zero Belongings of exponent:

It ways if the power of a base of operations is zero then the value of the solution will be 1.

Example: Simplify 5⁰.

In this question, the power of base is cipher, and then according to the nix property of exponents, the answer of this non cypher base is 1. Hence,

5⁰= 1

Negative Belongings of exponent:

Information technology ways when the ability of base of operations is a negative number, then afterwards multiplying we volition accept to find the reciprocal of the answer.

Case: Simplify 1/3^-two.

Nosotros will showtime brand the ability positive by taking reciprocal.

1/three^-2=3²

3² = 9

Product Belongings of exponent:

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

Instance: Solve (ii⁶)(2^two).

As it is obvious, bases are the same then powers are to be added. Now

(two⁶)(2^two) = 2^six+two

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

=256

Quotient Property of exponent:

It is the contrary of the production belongings of exponent. When ii same bases having unlike exponents are required to be divided, so their powers are subtracted.