2 To The Tenth Power

Exponents Estimator or due east figurer is used in solving exponential forms of expressions. Information technology is besides known as raised to the power estimator.

Properties of exponents figurer:

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

What is an exponent?

An exponent is a pocket-size number located in the upper, right-paw position of an exponential expression (base of operations exponent), which indicates the power to which the base of the expression is raised.

The exponent of a number shows you lot how many times the number is to be used in a multiplication. Exponents do not have to be numbers or constants; they tin can be variables.

They are often positive whole numbers, just they tin can be negative numbers, fractional numbers, irrational numbers, or complex numbers. It is written as a small number to the right and above 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. Apply our exponent estimator 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, apply our exponent calculator.

Example:

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

It means = 3^four

Solution:

3*three*3*iii = 81

4 to the tertiary power = 81

Therefore the exponent is 81

two raised to the power calculator.

Example:

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

It ways = 2^nine

Solution:

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

2 to the 9th power = 512

Therefore the exponent is 512.

Example :

How do you summate the exponents of 5,6,vii to the power of 4?

It means = 5^four, half dozen⁴, 7⁴

Solution:

v*5*5*v = 625

six*six*6*6 = 1296

7*7*vii*7 = 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 observe the 5th ability of y, it is y*y*y*y*y.

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

0.1 to the ability of 3	0.00100
0.5 to the ability of 3	0.12500
0.5 to the power of 4	0.06250
1.two to the power of four	2.07360
1.02 to the tenth ability	1.21899
i.03 to the 10th power	1.34392
1.2 to the power of v	two.48832
1.4 to the 10th ability	28.92547
1.05 to the power of 5	1.27628
one.05 to the tenth ability	ane.62889
i.06 to the tenth power	1.79085
2 to the tertiary power	8
two to the ability of 3	8
2 raised to the power of iv	16
2 to the power of half-dozen	64
two to the power of seven	128
two to the 9th power	512
two to the tenth power	1024
2 to the 15th power	32768
two to the 10th ability	1024
ii to the ability of 28	268435456
3 to the ability of ii	ix
three to the three ability	27
three to the 4 power	81
3 to the 8th ability	6561
3 to the ninth ability	19683
3 to the 12th ability	531441
3 to what power equals 81	3⁴
4 to the power of iii	64
four to the ability of 4	256
4 to the ability of 7	16384
seven to the power of iii	343
12 to the second ability	144
two.5 to the power of 3	15.625
12 to the power of 3	1728
10 exponent 3	one thousand
24 to the second power (24²)	576
10 to the power of three	1000
iii to the ability of v	243
6 to the power of 3	216
9 to the power of iii	729
9 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 really piece of cake for agreement. There are 7 exponent rules.

Zero Property of exponent:

It ways if the ability of a base of operations is zippo then the value of the solution will exist 1.

Instance: Simplify five⁰.

In this question, the ability of base is aught, and so according to the cypher property of exponents, the answer of this non zero base is 1. Hence,

5⁰= 1

Negative Property of exponent:

It ways when the power of base is a negative number, then after multiplying we will accept to find the reciprocal of the reply.

Example: Simplify i/3^-2.

We will offset make the power positive by taking reciprocal.

1/3^-2=3²

3² = 9

Production Property of exponent:

When two exponential expressions having the same non zero base of operations and unlike powers are multiplied, and so their powers are added over the same base.

Case: Solve (ii⁶)(2²).

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

(2^vi)(iiⁱⁱ) = two⁶⁺²

2⁸ =ii*ii*2*ii*2*2*2*2

=256

Quotient 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, then their powers are subtracted.

Instance: Simplify 3⁷/3²

iii⁷/ three²=three^7-2

35=3*iii*3*iii*3

= 243

Power of a Power Property:

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

Instance: Solve: ( x²)ⁱⁱⁱ.

Keeping in view the ability of power belongings of exponents, nosotros will multiply powers.

(x^two)³=x^2*three

= x^vi

Ability of a product property:

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

Instance: Simplify (4*five)^two

iv ² * 5 ² =16* 25

= 400

Power of a Quotient Property:

It is the same every bit the power of a product property. Ability belongs separately to both the numerator and denominator.

Instance: Solve (two/iii)ⁱⁱ

(2/3)^two=2²/ 3²

ii²/ iii^two=4/9