BB 107 ~ Ashirah,Narayan,Selarra and Jacob

For these sets of problems in BB 107, you will need to KNOW the Laws of Exponents to solve them.

a)

* The first step would be to perform the operation 2^4, or 2x2x2x2 and get the number 16. Next, multiply the exponents 2x4 (one of the laws of exponents) and get 8 for the 8th power. For the last part the y^4 remains the same.

b)

*First we solved - 6x ^2 and got 36x^2 for the denominator, but the numerator stays the same. In this equation, x^2 cancels each other out on the top and bottom of the fraction. From this, you only have y^3 left on top. Then you know that -3x can go into 36x twelve times (12 is negative because a positive divided by a negative is negative).

c)

* The first part's answer would also be 16x^8y^4 like in the previous problem and the denominator stays the same. Because of the law of exponents, you would subtract 1 (on the bottom) from the number 8 exponent and get 7 but the 16 remains. 4 - 5 is -1 so you would bring the "y" to the bottom, giving you this answer.

d) 5(5xy)^2 (x^3y)
5(25x^2y^2) (x^3y)
answer: 125x^5y^3

* You have to break the first line's variables down to their own exponents to get the next line but the 2nd parentheses stays the same. Next you multiply 25 by 5x to get 125x on the last line. Then you would add the exponents 3 + 2 (Laws of exponents) to get 5 and the y^3 remains.