## Exponent Calculator

You can also see all the steps of the calculation by clicking on “show more”. The input system is easy and simple to understand. With this exponent calculator, you can find the result of both negative and positive exponents.

## How to solve exponents?

There are two categories of exponents; favorable and unfavorable.

### Positive exponents

Exponents of a base that are equal to or greater than zero.

Example:.

Solve 53.

Solution:.

Step 1: Record the foundation and multiply it by the exponent number of times.

53 equals 5 multiplied by 5 multiplied by 5 (5 raised to the power of 3).

Step 2: Multiply.

53 equals 5 multiplied by 5 multiplied by 5, which equals 125.

Example.

Solve 2^23624.

Solution:.

Step 1: Express 2 as a product of 2 multiplied by itself, repeating this process up to 23624 times.

The expression 2^23624 represents the result of multiplying 2 by itself 23624 times.

Step 2: Multiply.

2^23624 equals infinity (an extremely large number).

Example.

1.1 to the power of 10.

Solution:.

1.1 to the power of 10. = 2.5937

### Negative exponents

Negative exponents.

Example:.

Solve 6-3.

Solution:.

Step 1: Divide 6-3 by 1 to ensure the power becomes positive.

6-3 = 1/63 (6 raised to the power of 3).

Step 2: Compose the foundation and multiply it by the power number of times.

1/63 = 1/(6 × 6 × 6) = 1/216.

1/63 equals 0.00463.

This is the basics of exponents. To simplify, you need to understand the rules and laws that govern them. By delving a little deeper, you can minimize the steps required to comprehend these rules.

Only a short while later, the outcome will remain unchanged if you fail to adhere to these guidelines and resolve the exponents based on your fundamental understanding of PEMDAS.

## Laws of Exponents:

There are also exponents of laws 10 who write about who owns them. Some believe there are laws 8, while others say there are laws 7.

In the end, it is just the number of shortcuts you know to accelerate the calculations. The count does not really matter.

For your convenience, we have categorized the rules of exponents into two groups: Simple and complex.

### Simple rules:

These three rules can also be referred to as the introductory or fundamental principles.

These rules are simply devised to make them understandable. The name of the rules and the category mentioned by any mathematician are not included in this disclaimer.

### Complicated rules

They may be difficult to understand, but you can pay attention to some of them. There are six main rules that fall under this heading.

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(Bm)(bn) = bm+n.

This rule is also known as the “Product law”. When the exponents are the same, diverse powers are combined.

This can be clarified by considering the number of times the b needs to be multiplied. Let’s consider an instance.

= (Y3)(Y2).

The Y is first multiplied by three and then multiplied by two.

= (Y cubed)(Y squared)

The final answer will be the same in both ways, which means that the value of Y in this particular problem represents a specific digit. It is not possible to say if it is equal to 10 or 5.

Given that the values are identical, the powers are merged, unless the issue at hand pertains to roots.

Second rule:

(Bm)/(bn) = b to the power of (m-n).

This law is called the “Quotient Law,” and it bears a strong resemblance to the law mentioned earlier. To illustrate its meaning, consider the previous illustration that employs a division symbol.

= (Y3)/(Y2) = (Y x Y x Y)/(Y x Y).

A single Y is obtained by subtracting 2 from 3, just as one Y remains after eliminating the Ys in the smaller quantity with the two Ys in the larger quantity.

Rule number 3:

(Axb)m = (a)m(b)m.

“Product rule for powers” states that when two values within a product have equal exponents, they can be split.

Whether you multiply first and then solve the power or solve the powers separately and then multiply, the result will be common.

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(A/b)m = a^m / b^m.

Hopefully, it becomes clear after the preceding legislation. Its title is the “Quotient Rule for Exponents”.

Rule number 5:

((B)m)n = bm×n.

It is a little hard to comprehend the example verification below. The powers are multiplied, then n is raised to the power of m first, and the base b is raised to the power of two when the base b is raised to the power of two, the rule states “The.”

(22)3 equals 22 multiplied by 3 which equals 26 and then equals 64.

Now, without enforcing the legislation.

22 cubed equals 4 cubed equals 64.

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Bm/n = n√bm.

This is why it is changed into the square root form. It is nearly impossible to solve it by hand when the power is in the form of a fraction. This is the “fractional power rule”.

As you may be aware, Y1/n = n√Y. This validates the principle if bm is regarded as Y.

That’s it, the principles of the exponents.