Question

Which expressions are equivalent to 6^-10 6^-8

Answer 1

Answer:

The equivalents are 1/6¹⁰ and  1/6⁸

Step-by-step explanation:

1. Let's recall the rule about the negative exponents to find the equivalents to the expressions provided:

The rule says that any number different than zero, raised to a negative power equals its reciprocal raised to the opposite positive power.

Thus, x ⁻ⁿ = 1/x ⁿ

2. Now, let's find the equivalents after following the rule:

6 ⁻ ¹⁰ = 1 ÷ 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 1/6 ¹⁰

6 ⁻ ⁸ = 1 ÷ 6 * 6 * 6 * 6 * 6 * 6 * 6 * 6  = 1/6 ⁸