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Multiplying powers with the same base

How to multiply powers with the same base?

See the following examples.

Examples of multiplying powers with the same base

Example 1.

Multiplication of powers with the same base

ab * ac =
ab + c

Example 2.

Multiply powers with the same base

23 * 28 =
23 + 8 =
211 = 2048

See Powers of 2.

Example 3.

Multiply powers with the same base

(5b)12 * (5b)34 =
(5b)12 + 34 =
(5b)46

Example 4.

Multiplication of powers with the same base

(20 - 15)7 * (2 + 3)2 =
57 * 52 =
57 + 2 =
59 = 1953125

See Powers of 5.

Example 5.

Multiplication of 3 powers with the same base

34 * 33 * 35 =
34 + 3 + 5 =
312 = 531441

See Powers of 3.