| Questions | 5 |
| Topics | Exponent to a Power, Least Common Multiple, Multiplying & Dividing Fractions, Negative Exponent, PEMDAS |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents: (x2)3 = x(2x3) = x6
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
To multiply fractions, multiply the numerators together and then multiply the denominators together. To divide fractions, invert the second fraction (get the reciprocal) and multiply it by the first.
A negative exponent indicates the number of times that the base is divided by itself. To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal: \(b^{-e} = { 1 \over b^e }\). For example, \(3^{-2} = {1 \over 3^2} = {1 \over 9}\)
Arithmetic operations must be performed in the following specific order:
The acronym PEMDAS can help remind you of the order.