## What are the rules of exponents?

Exponent rules, laws of exponent and examples. The base a raised to the power of n is equal to the multiplication of a, n times: a is the base and n is the exponent. 3 4 = 3 × 3 × 3 × 3 = 81 3 5 = 3 × 3 × 3 × 3 × 3 = 243

## How do you add exponents to the power of 0?

According to the zero power rule, if the exponent is zero, the result is 1, whatever the base value is. It means that anything raised to the power of 0 is 1. For example, 5 0 is 1. In expression 2 2 .2 5, the base values are the same, So we can add the exponents. 2 2 .2 5 = 2 7.

What is the difference between exponents and powers?

So basically exponents or powers denotes the number of times a number can be multiplied. If the power is 2, that means the base number is multiplied two times with itself. Some of the examples are: 3 4 = 3×3×3×3

### How to find the exponents of an expression?

Summary 1 Evaluating expressions containing exponents is the same as evaluating any expression. 2 The product rule for exponents: For any number x and any integers a and b , (xa)(xb) = xa + b. 3 The quotient rule for exponents: For any non-zero number x and any integers a and b: xa xb = xa − b

### What happens when you raise exponents to negative?

If a number is raised to negative exponents then it represents the reciprocal of it. For example, 3 raised to -2 is represented by 3 -2, which is equal to 1/3 2. What do we get if the exponent is 1 or 0? If the exponent of a base number is one, then the value of the base remains unchanged.

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## What happens when you divide exponents with different powers?

When two exponents having same bases and different powers are divided, then it results in base raised to the difference between the two powers. Any base if has a negative power, then it results in reciprocal but with positive power or integer to the base. The rules of exponents are followed by the laws.