To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-4y⁵ x 9y²
(-4 x 9)y^{(5 + 2)}
-36y⁷

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 $300
i = 0.01 x $300

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

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:

\( \sqrt{\frac{25}{36}} \)
\( \frac{\sqrt{25}}{\sqrt{36}} \)
\( \frac{\sqrt{5^2}}{\sqrt{6^2}} \)
\(\frac{5}{6}\)

If the tiger has consumed 143 pounds of food in 11 days that's \( \frac{143}{11} \) = 13 pounds of food per day. The tiger needs to consume 195 - 143 = 52 more pounds of food to reach 195 pounds total. At 13 pounds of food per day that's \( \frac{52}{13} \) = 4 more days.

By buying two shirts, Bob will save $21 x \( \frac{10}{100} \) = \( \frac{$21 x 10}{100} \) = \( \frac{$210}{100} \) = $2.10 on the second shirt.

So, his total cost will be
$21.00 + ($21.00 - $2.10)
$21.00 + $18.90
$39.90