Laws of exponents Problem set A Answers

\(54x\)

1. (a) \(\frac{1}{32}\)
2. (b) \(\frac{16}{9}\)

1. (a) \(8\)
2. (b) \(\frac{1}{4}\)
3. (c) \(\frac{216}{125}\)

1. (a) \(\frac{5}{2}x^{\frac{7}{2}}\)
2. (b) \(3x^{- \frac{5}{3}}\)
3. (c) \(x^{\frac{7}{6}}\)

1. (a) \(-4x^{\frac{7}{3}} + 5x^{- \frac{1}{2}}\)
2. (b) \(3 - 2x^{- \frac{3}{2}}\)

1. (a) \(x = \frac{25}{9}\)
2. (b) \(x = 8\)
3. (c) \(x = 4096\)

1. (a) \(x = \frac{24}{5}\)
2. (b) \(x = 17\)

\(\frac{5}{2}x^{7}\)

1. (a) \(\frac{1}{64}\)
2. (b) \(\frac{125}{8}\)
3. (c) \(\frac{4}{3}\)

1. (a) \(4.72\times10^{-5}\)
2. (b) \(3.6\times10^{-2}\)
3. (c) \(5.72\times10^{9}\)
4. (d) \(6\times10^{5}\)

1. (a) \(500\) lux
2. (b) \(5\) lux

1. (a) \(T = 27\) years
2. (b) \(r = 25\) astronomical units

1. (a) \(48\)
2. (b) \(\frac{3}{8}\)

1. (a) \(6.04\times10^{24}\) kg
2. (b) 81.2

1. (a) \(5x^{\frac{1}{2}}\)
2. (b) \(x = y^{\frac{3}{7}}\)

\(x + 4x^{\frac{1}{2}} + 4\)

\(12x^{3}\)