What does 3^4x2^3x5^2/3^2x5x2^3 equal?

Using the method of sorting the bases and subtracting the exponents.

1 answer

If your expression mean:

( 3 ^ 4 * 2 ^ 3 * 5 ^ 2 ) / ( 3 ^ 2 * 5 * 2 ^ 3 )

Then:

( 3 ^ 4 * 2 ^ 3 * 5 ^ 2 ) / ( 3 ^ 2 * 5 2 ^ 3 ) =

( 81 * 8 * 25 ) / ( 9 * 5 * 8 ) =

81 * 25 / ( 9 * 5 ) =

( 9 * 9 * 5 * 5 ) /( 9 * 5 ) =

9 * 5 = 45

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Remark:

3 ^ 4 = 81

2 ^ 3 = 8

5 ^ 2 = 25

3 ^ 2 = 9
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