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djverab [1.8K]
3 years ago
11

(5t^3)^-4 1. 625/t^12 2. 20/t^7 3. 1/625t^12 4. 1/20t^7

Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

\large\boxed{3.\ \dfrac{1}{625t^{12}}}

Step-by-step explanation:

\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\---------------\\\\(5t^3)^{-4}=\dfrac{1}{(5t^3)^4}=\dfrac{1}{5^4(t^3)^4}=\dfrac{1}{625t^{(3)(4)}}=\dfrac{1}{625t^{12}}

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