A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,300
i = 0.06 x $1,300

No payments were made so the total amount due is the original amount + the accumulated interest:

To multiply terms with radicals, multiply the coefficients and radicands separately:

7\( \sqrt{4} \) x 6\( \sqrt{7} \)
(7 x 6)\( \sqrt{4 \times 7} \)
42\( \sqrt{28} \)

Now we need to simplify the radical:

42\( \sqrt{28} \)
42\( \sqrt{7 \times 4} \)
42\( \sqrt{7 \times 2^2} \)
(42)(2)\( \sqrt{7} \)
84\( \sqrt{7} \)

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{36}{81}} \)
\( \frac{\sqrt{36}}{\sqrt{81}} \)
\( \frac{\sqrt{6^2}}{\sqrt{9^2}} \)
\(\frac{2}{3}\)

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{6} \) ÷ \( \frac{3}{8} \) = \( \frac{4}{6} \) x \( \frac{8}{3} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{6} \) x \( \frac{8}{3} \) = \( \frac{4 x 8}{6 x 3} \) = \( \frac{32}{18} \) = 1\(\frac{7}{9}\)