Indicies - Explanation, Examples and Laws of Indicies
Welcome back to my blog! Today, we'll be looking at indicies. Indicies, also known as exponents or powers, helps us express products of factors and large numbers in a more compact and efficient way. For example, instead of writing 2 × 2 × 2 × 2 × 2 2 \times 2 \times 2 \times 2 \times 2 , we can simply write it as 2 5 2^5 . Here, 2 2 is the base, and 5 5 is the power or exponent, indicating that 2 2 multiplies itself 5 5 times. Example 1 Evaluate the following: a. 4 4 = 4 × 4 × 4 × 4 = 256 4^4 = 4 \times 4 \times 4 \times 4 = 256 b. 5 3 × 2 2 × 3 3 = 5 × 5 × 5 × 2 × 2 × 3 × 3 × 3 = 13500 c. 2 3 × 3 1 × 7 2 = 2 × 2 × 2 × 3 × 7 × 7 = 1176 2^3 \times 3^1 \times 7^2 = 2 \times 2 \times 2 \times 3 \times 7 \times 7 = 1176 Negative Bases So far, we’ve only considered positive bases raised to a power. Let’s briefly explore negative bases: ...