MCQ
Simplify $4^{-4}\times\Big(\frac{3}{4}\Big)^{-4}$ and write the answer in exponent form:
- ✓$\frac{1}{3^4}$
- B$\frac{4^4}{3^4}$
- C$3^4$
- D$\frac{1}{3^3}$
✓
Answer
Correct option: A.
$\frac{1}{3^4}$
$4^{-4}\times\Big(\frac{3}{4}\Big)^{-4}=\frac{1}{4^4}\times\frac{3^{-4}}{4^{-4}}$
$\frac{1}{4^4}\times\frac{3^{-4}}{4^{-4}}=\frac{1}{4^4}\times\frac{4^{4}}{3^{4}}$
$=\frac{1}{3^4}$
$\frac{1}{4^4}\times\frac{3^{-4}}{4^{-4}}=\frac{1}{4^4}\times\frac{4^{4}}{3^{4}}$
$=\frac{1}{3^4}$
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