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sveta [45]
3 years ago
10

Select the equivalent expression. (a^-3/b^2)^4=? Choose 1 answer: A. b^2/a^7 B. (b/a)^20 C. 1/a^12*b^8

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer:

           1

C =   --------

        a¹² b⁸

Step-by-step explanation:

(a⁻³/b²)⁴

( (1/a³) / (b²))⁴

( 1/a³  ÷ b² )⁴

therefore,

      1

=   ------

   a¹² b⁸

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Evaluating the second function;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}

simplifying further;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}

Therefore, we have;

undefined

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