Question

Which of the following is not equal to ${\left(\frac{-3}{4}\right)}^4$

• A. $\frac{{(-3)}^4}{{\left(4\right)}^4}$
• B. $\frac{{\left(3\right)}^4}{{(-4)}^4}$
• C. $-\left(\frac{3^3}{4^4}\right)$
• D. $\left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)$

Answer 1

The correct option is C

$-\left(\frac{3^3}{4^4}\right)$

Finding the Solution:

We will evaluate every option:

(a) $\frac{{(-3)}^4}{{\left(4\right)}^4}={\left(\frac{-3}{4}\right)}^4\left\{U\sin g{\left(\frac{x}{y}\right)}^a=\frac{{\left(x\right)}^a}{{\left(y\right)}^a}\right\}$

(b) $\frac{{\left(3\right)}^4}{{(-4)}^4}={\left(\frac{-3}{4}\right)}^4\left\{U\sin g{\left(\frac{x}{y}\right)}^a=\frac{{\left(x\right)}^a}{{\left(y\right)}^a}\right\}$

(c) $-\left(\frac{3^3}{4^4}\right)$ not equal to ${\left(\frac{-3}{4}\right)}^4$

(d) $\left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)\times \left(\frac{-3}{4}\right)={\left(\frac{-3}{4}\right)}^4\{U\sin g{\left(x^a\right)}^b={\left(x\right)}^{a\times b}\}$

(c) Is the correct option.

Final Answer: (c) Is the correct option.