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:

-3z⁷ x 6z⁵
(-3 x 6)z^{(7 + 5)}
-18z¹²

By buying two shirts, Alex will save $35 x \( \frac{30}{100} \) = \( \frac{$35 x 30}{100} \) = \( \frac{$1050}{100} \) = $10.50 on the second shirt.

So, his total cost will be
$35.00 + ($35.00 - $10.50)
$35.00 + $24.50
$59.50

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0005844 in scientific notation is 5.844 x 10^-4

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 = 0.02 x $300

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

To add these radicals together their radicands must be the same:

8\( \sqrt{125} \) + 9\( \sqrt{5} \)
8\( \sqrt{25 \times 5} \) + 9\( \sqrt{5} \)
8\( \sqrt{5^2 \times 5} \) + 9\( \sqrt{5} \)
(8)(5)\( \sqrt{5} \) + 9\( \sqrt{5} \)
40\( \sqrt{5} \) + 9\( \sqrt{5} \)

Now that the radicands are identical, you can add them together: