# Simplifying equations

I can't understand how to simplify the equations for example 7x to the 3rd power times 3y to the 2nd power. I am not sure how to simplify them. Can anyone please help me?

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#### Solution Preview

The given problem is (7x) 3 x (3y) 2

Let us analyse the problem in steps. The formula to be used is

(ab) n = a n x b n

where, a and b can be either constants (numbers) or variables (like x, y, z.....)

Let us verify this with an example.

Let a = 1, b = 2 and c = 3

(ab) n = (1 x 2) 3 = 2 3 = 2 x 2 x ...

#### Solution Summary

This shows how to simplify an equation with variables and powers.

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