Question

Rewrite the expression 2⁻³ × 81 as an algebraic expression.

a) (1/2)x³
b) (1/4)x⁴
c) (1/8)x³
d) (1/16)x²

Answer 1

The expression 2⁻³ × 81 rewritten as an algebraic expression is (1/4)x´, as 2⁻³ equals to 1/8 and 81 is a cube of 3 (3³).

Step-by-step explanation:

To rewrite the expression 2⁻³ × 81 as an algebraic expression, we first need to understand what 2⁻³ means. In this case, 2⁻³ is the same as ⅛, which is equal to ¼. Because 81 is a perfect cube (3³), we can rewrite 81 as (x³) where x equals 3. Therefore, the expression becomes ¼ × x³. Since we have a cube of x multiplied by a quarter, the algebraic expression is (1/4)x´.