3 years ago

Combine like terms, need help ASAP

1 answer:

8 0

$15. 7x^{4} - 5x^{4} = 2x^{4} \\17. 6b + 7b - 10 = 13b - 10\\19. y + 4 + 3 ( y + 2 ) = y + 4 + 3y + 6 = 4y + 10\\21. 3y^{2} + 3 ( 4y^{2} - 2 ) = 3y^{2} + 12y^{2} - 6 = 15y^{2} - 6\\23. 0.5 ( x^{4} - 3 ) + 12 = 0.5x^{4} - 1.5 + 12 = 0.5x^{4} + 10.5$

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Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

prohojiy [21]

$Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n$

$\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}$