Exponents Calculator or e calculator is used in solving exponential creates of expressions. It is additionally known as elevated to the power calculator.

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### Properties of index number calculator:

This calculator solves bases with both negative exponents and positive exponents. It also provides a action by step technique with an exact answer.

## What is one exponent?

An exponent is a small number situated in the upper, right-hand place of an exponential expression (base exponent), which indicates the strength to i m sorry the basic of the expression is raised.

The exponent of a number shows you how numerous times the number is come be used in a multiplication. Exponents perform not have to be numbers or constants; they deserve to be variables.

They are often positive totality numbers, however they have the right to be an adverse numbers, spring numbers, irrational numbers, or complex numbers. It is composed as a little number come the best and over the basic number.

Types:

There space basically two species of exponents.

### Positive exponent

A confident exponent tells how many times a number is required to be multiply by itself. Usage our exponent calculator to deal with your questions.

### Negative exponent

A an unfavorable exponent represents which portion of the base, the equipment is. To simplify index number with strength in the type of fractions, usage our exponent calculator.

### Example:

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

It means = 34

Solution:

3*3*3*3 = 81

4 to the third power = 81

Therefore the exponent is 81

2 elevated to the power calculator.

### Example:

What is the worth of exponent because that 2 raise to power 9 (2 to the ninth power)

It means = 29

Solution:

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

2 come the 9th power = 512

Therefore the exponent is 512.

### Example:

How execute you calculation the exponents of 5,6,7 come the power of 4?

It way = 54, 64, 74

Solution:

5*5*5*5 = 625

6*6*6*6 = 1296

7*7*7*7 = 2401

Therefore the exponents room 625, 1296, 2401.

## How to calculate the nth power of a number?

The nth power of a base, let’s say “y”, method y multiply to itself nth time. If we are to discover the 5th power of y, the is y*y*y*y*y.

Some various other solutions because that the nth strength calculator are in the complying with table.

 0.1 come the strength of 3 0.001 0.5 to the strength of 3 0.125 0.5 come the strength of 4 0.0625 1.2 to the strength of 4 2.0736 1.02 come the 10th power 1.21899 1.03 come the 10th power 1.34392 1.2 to the strength of 5 2.48832 1.4 come the 10th power 28.9255 1.05 come the power of 5 1.27628 1.05 to the 10th power 1.62889 1.06 come the 10th power 1.79085 2 come the third power 8 2 to the strength of 3 8 2 increased to the power of 4 16 2 to the strength of 6 64 2 to the power of 7 128 2 come the ninth power 512 2 to the tenth power 1024 2 to the 15th power 32768 2 come the 10th power 1024 2 to the strength of 28 2.68435e+08 3 come the power of 2 9 3 come the 3 power 27 3 come the 4 power 81 3 come the 8th power 6561 3 to the 9th power 19683 3 to the 12th power 531441 3 come what power amounts to 81 34 4 to the strength of 3 64 4 come the power of 4 256 4 to the strength of 7 16384 7 come the power of 3 343 12 come the 2nd power 144 2.5 to the strength of 3 15.625 12 to the strength of 3 1728 10 exponent 3 1000 24 come the second power (242) 576 10 come the strength of 3 1000 3 come the strength of 5 243 6 to the power of 3 216 9 come the strength of 3 729 9 to the strength of 2 81 10 to the power of 5 100000

## Exponent Rules:

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

Zero home of exponent:

It method if the power of a basic is zero climate the worth of the systems will be 1.

Example: leveling 50.

In this question, the strength of base is zero, then according come the zero residential property of exponents, the prize of this no zero basic is 1. Hence,

50= 1

negative Property that exponent:

It method when the power of base is a an unfavorable number, climate after multiplying us will have to find the mutual of the answer.

Example: leveling 13-2.

We will very first make the power confident by taking reciprocal.

1/3-2=32

32 = 9

Product residential or commercial property of exponent:

When 2 exponential expressions having the exact same non zero base and also different powers space multiplied, then their powers are included over the very same base.

Example: deal with (26)(22).

As that is obvious, bases room the very same so powers room to it is in added. Now

(26)(22) = 26+2

28 =2*2*2*2*2*2*2*2

=256

Quotient building of exponent:

It is the contrary of the product building of exponent. When two same bases having different exponents are forced to be divided, then your powers space subtracted.

Example: simplify 37 /32

37/ 32=37-2

35=3*3*3*3*3

= 243

power of a strength Property:

When one exponent expression additional has power, climate firstly you must multiply the powers and then fix the expression.

Example: Solve: ( x2)3.

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

(x2)3=x2*3

= x6

strength of a product property:

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

See more: Solution: When My Father Was 31 I Was 8, When My Father Was 31 I Was 8

Example: Simplify (4*5)2

42*52=16*25

= 400

strength of a Quotient Property:

It is the exact same as the strength of a product property. Strength belongs separately to both the numerator and denominator.