Question

I need help… a lot of it im so confused

Answer 1

1)

`\sqrt[3]{b {}^(2) } = b {}^{ (2)/(3) }`

2)

`f(4) = 2(3) {}^(4) = 2 * 81 = 162`

3)

`f( (1)/(2) ) = (1)/(3) (9) {}^{ (1)/(2) } + 5 = ( √(9) )/( 3) + 5 = 6`

4)

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

5)

`f(10) = 2e {}^(0.15 * 10) = 2e {}^(1.5) = 8.96`

6)

`y = 10(b) {}^(x) \: \: \\ 10 = 10(b) {}^(0) \: duh \\ 2 = 10b {}^(1) \\ b = (2)/(10) = (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 + (0.045)/(4) ) {}^(4 * 10) = 1564.38`

9)

`s = 2500.e {}^(0.07 * 20) = 10138`