Question

Simplify the quotient 3-¹ ÷34

Answer 1

Answer:

$\frac{1}{102}$

Step-by-step explanation:

1) Negative Power Rule: $x}^{-a}=\frac{1}{{x}^{a}}$.

$\frac{1}{3}\div 34$

2) Use this rule: $a\div \frac{b}{c}=a\times \frac{c}{b}$.

$\frac{1}{3}\times \frac{1}{34}$

3)  Use this rule: $\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}$.

$\frac{1\times 1}{3\times 34}$

4) Simplify $1\times 1$ to $1$.

$\frac{1}{3\times 34}$

5) Simplify  $3\times 34$ to $102$ .

$\frac{1}{102}$