For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
![\sqrt[4]{a^{3} } = a^{\frac{3}{4} }](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Ba%5E%7B3%7D%20%7D%20%20%3D%20a%5E%7B%5Cfrac%7B3%7D%7B4%7D%20%7D)