Laws of exponents Problem set B Answers

\(80x^{3}\)

1. (a) \(\frac{1}{81}\)
2. (b) \(\frac{125}{8}\)

1. (a) \(27\)
2. (b) \(\frac{1}{16}\)
3. (c) \(\frac{64}{343}\)

1. (a) \(\frac{3}{2}x^{\frac{14}{3}}\)
2. (b) \(6x^{- \frac{7}{2}}\)
3. (c) \(x^{\frac{11}{6}}\)

1. (a) \(5x^{\frac{3}{2}} + 8x^{- \frac{1}{4}}\)
2. (b) \(2x + 3x^{- \frac{3}{2}}\)

1. (a) \(x = \frac{49}{4}\)
2. (b) \(x = 27\)
3. (c) \(x = 15625\)

1. (a) \(x = \frac{12}{5}\)
2. (b) \(x = 22\)

\(2x^{10}\)

1. (a) \(\frac{1}{125}\)
2. (b) \(\frac{8}{27}\)
3. (c) \(\frac{3}{4}\)

1. (a) \(6.13\times10^{-5}\)
2. (b) \(2.1\times10^{-2}\)
3. (c) \(3.84\times10^{8}\)
4. (d) \(3\times10^{6}\)

1. (a) \(24\) units
2. (b) \(\frac{3}{2}\) units

1. (a) \(R = 24\) watts
2. (b) \(m = 81\) kg

1. (a) \(135\)
2. (b) \(\frac{5}{9}\)

1. (a) \(5.05\times10^{12}\) bytes
2. (b) 4.94

1. (a) \(3x^{\frac{1}{6}}\)
2. (b) \(x = y^{\frac{2}{7}}\)

\(x + 6x^{\frac{1}{2}} + 9\)

\(6x^{3}\)