Simplify each exponential expression: (-2x^4y^3)^3

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Accepted Answer

Hello everyone in this video we'll be simplifying this exponential expression negative four Z. To the fourth, Y. To the eighth and everything to the power of two. So in this case we want to remember that when there is an exponent outside of the parentheses its going to apply to every single one of these exponents and we're going to multiply across. So in this case we have negative four To the one, power Z to the 4th and Y to the 8th. And all of these have to be more deployed by the two on the outside. So when we do that we get negative four squared Z to the eighth, Y to the 16th. And now I can simplify negative four squared it becomes positive 16. If I rewrite positive 16 then I can also rewrite Z to the 8th and Y to the -16. So this becomes a simplified expression of negative four Z to the fourth, Y. To the eighth and to the power of two. And when we compare that to the answer choices available we can see that A is the most compatible one. They've just rewritten it and reordered the variable so it's negative 16 Y to the 16th, seed to the eighth. But it is the same answer. Hopefully this helped see you next time