EXPONENTS and POWERS
296399
Mark \((\checkmark)\) tick against the correct answer in the following:
\(\Big(\frac{-1}{5}\Big)^3\div\Big(\frac{-1}{5}\Big)^8=?\)
1 \(\Big(-\frac{1}{5}\Big)^5\)
2 \(\Big(\frac{-1}{5}\Big)^{11}\)
3 \((-5)^5\)
4 \(\Big(\frac{1}{5}\Big)^5\)
Explanation:
\((-5)^5\)
\(\because\Big(\frac{-1}{5}\Big)^3\div\Big(\frac{-1}{5}\Big)^8\)
\(=\Big(-\frac{1}{5}\Big)^{3-8}=\Big(-\frac{1}{5}\Big)^{-5}\)
\(=(-5)^5\)