Need help on algebra 2 problems like(a²bc³)^4 x (b²c)³?
okay so I was doing my algebra 2 homework and got stuck on a few problems because my teacher didn't give an example like these kinds. We're working on numbers and functions and I need help or a solved example of problems like
(a²bc³)^4 x (b²c)³ ,
(2x)³ (2y²)^4(1/2xy)^5,
(2y)^4 (3y²)²
and
(-x³)(-y²)^4(xyz^5)²
by the way the subscript is either a 2 or a 3 incase its too small to read.
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(a²bc³)^4 x (b²c)³
(a^(2*4)b^(1*4)c^(3*4) x (b^(2*3)c^(1*3))
(a^8)(b^4)(c^12)(b^6)(c^3)
(a^8)(b^(4+6))(c^(12+3))
(a^8)(b^10)(c^15)
QED
If you follow the same steps for all of the problems, you should be able to finish them. Just keep in mind:
*If the power is outside of the parentheses, every power on the inside is multiplied by the outside power. For example, (b^2)^2, the 2 on the inside is multiplied by the 2 on the outside, giving us b^(2*2), or b^4.
*If two factors with the same base are being multiplied by each other, the powers add together. For example, (b^2)(b^3) leads to b^(2+3), giving us b^5.
Remember that and you'll be fine.
1. (a^6b^7c^7) X (b^5c^5) = ?
2. (2^3x^3) (2^6y^6) (1/2^5x^5y^5)=?
3. (2^4y^4) (3^4y^4)=?
4. (-x^3) (-y^6) (x^7y^7z^7)=?
solve it urself....hahah