| Questions | 5 |
| Topics | Greatest Common Factor, Least Common Multiple, Multiplying & Dividing Exponents, PEMDAS, Simplifying Radicals |
The greatest common factor (GCF) is the greatest factor that divides two integers.
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.
To multiply terms with the same base, multiply the coefficients and add the exponents. To divide terms with the same base, divide the coefficients and subtract the exponents. For example, 3x2 x 2x2 = 6x4 and \({8x^5 \over 4x^2} \) = 2x(5-2) = 2x3.
Arithmetic operations must be performed in the following specific order:
The acronym PEMDAS can help remind you of the order.
The radicand of a simplified radical has no perfect square factors. A perfect square is the product of a number multiplied by itself (squared). To simplify a radical, factor out the perfect squares by recognizing that \(\sqrt{a^2} = a\). For example, \(\sqrt{64} = \sqrt{16 \times 4} = \sqrt{4^2 \times 2^2} = 4 \times 2 = 8\).