Simplify each expression. Write answers without negative exponent...

Question

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. -4r^-2(r^4)^2

Accepted Answer

Hey, everyone here, we are asked to simplify the given expression where we have negative 11 times G to the power of negative six times the quantity of G to the power of 12 raised to the power of three. Now to simplify this expression, we need to utilize the rules of Exxon. And the first rule of exponents that we need to recall is the power rule which tells us that the quantity of A to the power of M raised to the power of N is equivalent to A to the power of M times N. So with this power rule in mind, we can rewrite our original expression as negative 11 times G to the power of negative six. And now our other part, other half of the original expression can be rewritten with the power rule. So we have G to the race to the power of 12 times three. And so now all we need to do is just simplify this exponent here. So our expression becomes negative 11 times G raised to the power of negative six times G raised to the power of 36. And so now we can move on to recalling our next rule of exponents, which is going to be the product rule. Well, the product rule tells us that A, to the power of M times A to the power of N is equivalent to A, to the power of M times er sorry M plus N. And so now again, we can use this rule to simplify our G variable here. So our expression becomes negative 11 times G raised to the power of negative six plus 36. So now we just need to simplify our exponent again. So our expression comes negative 11 times G to the power of 30. So with this, we have fully simplified our expression and we do not have any negative exponents. So this is our final answer here, which is answer choice. B thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. -4r^-2(r^4)^2

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