Powers in mathematics represent repeated multiplication of a number by itself. The base is the number being multiplied and the exponent shows how many times it is multiplied. For example 2³ means 2 multiplied by itself three times (2 * 2 * 2). Powers are essential in algebra and calculations.

Patterns in mathematics help recognize regularities in numbers shapes and arrangements. These patterns can be numerical geometric or logical. Identifying patterns improves problem-solving skills and logical thinking. It helps predict upcoming terms in sequences and understand complex concepts. Mastering patterns is important for higher-level mathematical understanding and applications.