Question

I need help… a lot of it im so confused

Answer 1

1)

$\sqrt[3]{b {}^{2} } = b {}^{ \frac{2}{3} }$

2)

$f(4) = 2(3) {}^{4} = 2 \times 81 = 162$

3)

$f( \frac{1}{2} ) = \frac{1}{3} (9) {}^{ \frac{1}{2} } + 5 = \frac{ \sqrt{9} }{ 3} + 5 = 6$

4)

$f(5) = - 4(2) {}^{ - 5 + 1} = - 4(2) {}^{ -4} = \frac{2 {}^{2} }{2 {}^{4} } = \frac{1}{2 {}^{2} } = \frac{1}{4}$

5)

$f(10) = 2e {}^{0.15 \times 10} = 2e {}^{1.5} = 8.96$

6)

$y = 10(b) {}^{x} \: \: \\ 10 = 10(b) {}^{0} \: duh \\ 2 = 10b {}^{1} \\ b = \frac{2}{10} = \frac{1}{5}$

7)

$y = a(b) {}^{x} \\ 3 = a(b) {}^{0} \\ a = 3 \\ \\75 = 3(b) {}^{2} \\ b {}^{2} = 25 \\ b = + 5 \: \: \: or \: \: \: \: b = - 5$

8)

$s = 1000(1 + \frac{0.045}{4} ) {}^{4 \times 10} = 1564.38$

9)

$s = 2500.e {}^{0.07 \times 20} = 10138$