How do you simplify $(-12t^-1 u^5 v^-4 )/(2t^-3 u v^5)$ ?

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Answer 1 · 2018-04-07T00:27:02

Simplified: $-(6t^2u^4)/v^9$

Expression: $(-12t^-1u^5v^-4)/(2t^-3uv^5)$

Apply fraction rule $(-a)/b = -a/b$

$=-(12t^-1u^5v^-4)/(2t^-3uv^5)$

**Divide the numbers $12/2 = 6$ **

$=-(6t^-1u^5v^-4)/(t^-3uv^5)$

**Apply exponent rule: $x^a/x^b = x^(a-b)$ **

$=-(6t^2u^5v^-4)/(uv^5)$

Cancel the common factor "u"

$=-(6t^2u^4v^-4)/v^5$

**Apply exponent rule: $x^a/x^b=x(a-b)$ and $x^-a = 1/x^a$ **

Answer $=-(6t^2u^4)/v^9$

~ Alex

How do you simplify (-12t^-1 u^5 v^-4 )/(2t^-3 u v^5)(-12t^-1 u^5 v^-4 )/(2t^-3 u v^5)?