Question

При якій дії із степенями з однаковими основами показники перемножаються? При піднесенні степеня до степеня При діленні степеня на степінь При піднесенні добутку до степеня При множенні степенів

Answer 1

Rules for Multiplying Powers with the Same Base

When dealing with powers with the same base, the following rules apply:

1. When raising a power to another power: - When raising a power to another power, the exponents are multiplied together. - For example, (a^m)^n = a^(m*n).

2. When dividing a power by another power: - When dividing a power by another power with the same base, the exponents are subtracted. - For example, a^m / a^n = a^(m-n).

3. When raising a product to a power: - When raising a product to a power, each factor is raised to that power. - For example, (ab)^n = a^n * b^n.

4. When multiplying powers with the same base: - When multiplying powers with the same base, the exponents are added. - For example, a^m * a^n = a^(m+n).

These rules are fundamental in simplifying expressions involving powers with the same base.