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Powers with integer exponents

Power with integer exponent

Powers is another way to write a product.

a * a * a * a = a4

Power with integer exponent is

am

Here a is a real number, and m is an integer.

The expression

am

is called a power with integer exponent.

The number a called the base

the base –> am

The number m is called the exponent

am <– the exponent

We say "a to the m-th power".

It is important that

1. The exponent is an integer
2. The base number can be any real number.

The power with integer exponent am is equal to the product of a multiplied by itself m times:

am = a * a * a * ... (m times)

Definition of power with integer exponent

Powers with integer exponents can be defined as:

1. am = a * a * a * ... (m times, here m is a natural number)

2. a0 = 1

3. a-m = 1/am

Here a is a real number, a ≠ 0, and m is an integer.

Examples of powers with integer exponents

Examples of powers with integer exponents.

54 = 5 * 5 * 5 * 5 = 625
63 = 6 * 6 * 6 = 216

Examples. The exponent is equal to 0.

50 = 1
(-6)0 = 1

Examples of powers with negative exponents.

5-2 = 1/52 = 1/25
(-6)-2 = 1/(-6)2 = 1/36