# SOLUTION: Hi, I'm having a lot of trouble with a couple of different questions. I did do the homework on this, but I feel like I did not do an example like this. A) (25u^2)^5/2 B) b^

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Hi, I'm having a lot of trouble with a couple of different questions. I did do the homework on this, but I feel like I did not do an example like this. A) (25u^2)^5/2 B) b^      Log On

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 Question 582434: Hi, I'm having a lot of trouble with a couple of different questions. I did do the homework on this, but I feel like I did not do an example like this. A) (25u^2)^5/2 B) b^2/3b^2/3 / -b^1/3 C) Find the perimeter of the trapezoid. This one they gave us a problem like it, but they never made us set it up fully. So I'm not even sure how to set it up. Sides: 4 square root of 50, 2 square root of 72, 3 square root of 2, & the square root of 50.Answer by stanbon(57347)   (Show Source): You can put this solution on YOUR website!A) (25u^2)^(5/2) ----- The 2 in the exponent denominator means "take the square root". The 5 in the exponent numerator means "raise to the 5th power". ------ (25u^2)^(5/2) = (5u)^5 = 3125u^5 ====================================== B) b^2/3b^(2/3) / -b^(1/3) ------------ = [b^(4/3)/3] / [-b^(1/3) ----- = [b^(4/3)/[-3b^(1/3)] ---- = b/(-3) --- = (-1/3)b ============================= C) Find the perimeter of the trapezoid. This one they gave us a problem like it, but they never made us set it up fully. So I'm not even sure how to set it up. Sides: 4 square root of 50, 2 square root of 72, 3 square root of 2, & the square root of 50. ---- P = 2sqrt(50) + 2sqrt(72)+3sqrt(2)+sqrt(50) ---- P = 2*5sqrt(2) + 2*6sqrt(2) + 3 sqrt(2) + 5sqrt(2) ----- P = 30sqrt(2) ====================== Cheers, Stan H. =================