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Subtracting powers with the same base

How to subtract powers with the same base?

See the following examples.

Examples of subtracting powers with the same base

1. Subtraction of powers with the same base

28 - 24 =
24 + 4 - 24 =
24 * 24 - 24 =
24(24 - 1) =
16(16 - 1) = 240

See Powers of 2.

2. Subtract two powers with the same base

93 - 95 =
93 - 92 + 3 =
93 - 92 * 93 =
93(1 - 92) =
729(1 - 81) = −58320

See Powers of 9.

3. Subtract powers with the same base and unequal exponent

35 - 36 =
35 - 31 + 5 =
35 - 31 * 35 =
35(1 - 31) =
243 * (-2) = −486

See Powers of 3.

4. Subtracting powers with the same base and different exponents

a8b - a3b =
a5b + 3b - a3b =
a5b * a3b - a3b =
a3b(a5b - 1)