How do you simplify # (y^6)^-3 * y^12#?

Answer 1

After simplifying you get #y^-6# or #1/(y^6)# To calculate this you use these properties of powers:

1) #(a^m)^n=a^(m*n)# and 2) #a^m*a^n=a^(m+n)# and 3) #a^-m=1/a^m# After using 1) for the first part you get #y^-18*y^12# Then after using 2) you get #y^-6# Finally to get rid of the negative exponent you can use 3) to get the fraction.

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Answer 2

Hazel Anglin

To simplify (y^6)^-3 * y^12, you first apply the exponent rule (a^m)^n = a^(m*n) to (y^6)^-3, which gives y^(-18). Then, you multiply y^(-18) by y^12 using the exponent rule a^m * a^n = a^(m+n), resulting in y^(-18+12) = y^-6. Therefore, the simplified expression is y^-6.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.