Rule of the power of A

Answer 1

The power of a number A is determined by multiplying A by itself a certain number of times, where the number of times is denoted by an exponent.

The rule of the power of A states that for any real number A and any positive integers m and n:

A^m * A^n = A^(m + n)

This means that if you have the same base A raised to different exponents m and n, you can multiply them together by adding the exponents.

For example, let's say A = 2, m = 3, and n = 4:

2^3 * 2^4 = 2^(3 + 4) = 2^7 = 128

Another rule is:

(A^m)^n = A^(m * n)

This means that if you have a power of A raised to another exponent, you can simplify it by multiplying the exponents.

For example, let's say A = 2, m = 3, and n = 4:

(2^3)^4 = 2^(3 * 4) = 2^12 = 4096

These rules are fundamental in simplifying and manipulating expressions involving powers of a number.