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

\( \frac{-3x^5}{2x^3} \)
\( \frac{-3}{2} \) x^{(5 - 3)}
-1\(\frac{1}{2}\)x²

The equation for this sequence is:

a_n = a_n-1 + 8

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 8
a₆ = 33 + 8
a₆ = 41

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

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:

6,518,000 in scientific notation is 6.518 x 10⁶

By buying two shirts, Charlie will save $42 x \( \frac{20}{100} \) = \( \frac{$42 x 20}{100} \) = \( \frac{$840}{100} \) = $8.40 on the second shirt.

So, his total cost will be
$42.00 + ($42.00 - $8.40)
$42.00 + $33.60
$75.60