Simplifying Algebraic 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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... = 8

a n x b n = (1 3) x (2 3) = (1 x 1 x 1) x ( 2 x 2 x 2 ) = 1 x 8 = 8

You can also verify this with different values of a, b, and n.

Now coming back to the problem, let us calculate individually the values of (7x) 3 and (3y) 2 and then multiply them.

(7x) 3 = 7 3 x x 3 = (7 x 7 x 7) x x 3 (leave the ...