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What is the missing exponent?

What is the missing exponent?-example-1

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Answer:

0

Explanation:

( 2x^2 y^m) ^6 = 64 x^12

We are interested in the y variable

The y on the right is not there so we can write it as y^0

y^m^6 = y^0

We know that a^b^c = a^(b*c)

y^(m*6) = y^0

The bases are the same so the exponents have to be the same

6m =0

m=0

The missing exponent is 0

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