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frutty [35]
3 years ago
12

What is the value of (2/3)-4

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
8 0

Answer:

16/81

Step-by-step explanation:

as there is (-) sign so when we multiply even negative numbers it becomes positive

schepotkina [342]3 years ago
5 0

Answer:

81/16

beacuse

the 4 is negative. so it will become the reciprocal

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How do I solve
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Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\------------------------\\\\\left(16n^4\right)^{\frac{5}{4}}=16^\frac{5}{4}\left(n^4\right)^\frac{5}{4}=16^{1\frac{1}{4}}n^{4\cdot\frac{5}{4}}=16^{1+\frac{1}{4}}n^5=16^1\cdot16^\frac{1}{4}\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^\frac{5}{4}=32n^5}

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