Multiplying Exponents with Difference Bases and Difference Powers

When exponents with different bases and different powers are multiplied, so each exponent is evaluated separately and then multiplied.

Mathematically it can be written as,

a^m x bⁿ = (a)^m x (b)ⁿ 

Let two exponents with different bases and powers is a^m and bⁿ.

Here a and b are the different bases and m and n is the power of both a and b.

Example: Solve 3² x 2³

Here, the bases and powers are different.

3² and 2³ have nothing in common to combine.

∴ 3² x 2³ = 3 x 3 x 2 x 2 x 2

= 72

Example: Solve 5² x 4³

Here, the bases and powers are different.

5² and 4³ have nothing in common to combine.

∴ 5² x 4³ = 5 x 5 x 4 x 4 x 4

= 1600