To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

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).

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

\( \frac{4}{6} \) x \( \frac{4}{5} \) = \( \frac{4 x 4}{6 x 5} \) = \( \frac{16}{30} \) = \(\frac{8}{15}\)

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 6 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{6 x 3}{4 x 3} \) - \( \frac{4 x 2}{6 x 2} \)

\( \frac{18}{12} \) - \( \frac{8}{12} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{18 - 8}{12} \) = \( \frac{10}{12} \) = \(\frac{5}{6}\)

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:

0.0007908 in scientific notation is 7.908 x 10^-4