# Algebra II/Trig

posted by .

Simplify:
1/5(-5a^2b^3)^2(abc)^4

How do you simplify this.

How does the "-5" play a role in this?
how would you get 1/5 of "-5"

• Algebra II/Trig -

1/5(-5a^2b^3)^2(abc)^4

= 1/5[(-5)^2(a^2)^2(b^3)^2][(a^4)(b^4)(c^4)]
= 1/5[25a^8b^10c^4]
= 5(a^8)(b^10)(c^4)

1/5 of "-5" would be -1 but you have to do the powers (exponents) before you do the division or multiplication

## Similar Questions

1. ### Intermediate Algebra

I have a take home test and I'm stuck on a couple. Anyone help please?
2. ### algebra/trig

simplify using properties of exponents ? (2y^1/5)^4 ---------- y^3/10 what would that be please hlepp
3. ### algebra

i cannot figure any of this stuff out. please help. if you can there are 15 more of these... 1. Simplify 5 + (7-1)2/6 A11 B41/6 C51/6 D7 E17/6 F23 2. Simplify (26/2 + 33)/(23) A11/3 B5 C20/3 D8 E6 F131/8 3. Simplify [7+2(5 - 9)2]/[(4+1)2 …
4. ### algebra... help soon please

i cannot figure any of this stuff out. please help. if you can there are 15 more of these... 1. Simplify 5 + (7-1)2/6 A11 B41/6 C51/6 D7 E17/6 F23 2. Simplify (26/2 + 33)/(23) A11/3 B5 C20/3 D8 E6 F131/8 3. Simplify [7+2(5 - 9)2]/[(4+1)2 …
5. ### Algebra

1. LCM of 15x^7 and 45x^7 2. Marla can shovel the driveway in 60min and Bill can do it in 45min how long would it take them to do the job together?
6. ### Algebra

1. Subtract and simplify 18/y-8 - 18/8-y 2. subtract simplify if possible v-5/v - 7v-31/11v 3. Simplify by removing factors of 1 r^2-81/(r+9)^2 4. Divide and simplify v^2-16/25v+100 divided by v-4/20 5. find all rational numbers for …
7. ### Algebra

Simplify A^6 x a^2b^-2 44,909 in scientific notation Simplify (a^2b^3)(a^5) Simplify x^-5y^-6 What is the P(H,H,H,H,T,T,T,) on 7 flips of a coin?
8. ### Algebra 2

1. Simplify: sqrt6(sqrt2/2+sqrt3)-sqrt8 2. Simplify: sqrt(72x^3)-5x sqrt(2x) 3. Simplify: (2sqrt6-sqrt3)^2 4. Simplify: 6/3+2sqrt3 5. Solve: 2-y=sqrt(y+4) I need all of the steps. Thanks