Answer:
3 × 10¯¹⁰
Step-by-step explanation:
9×10² ÷ 3×10¹²
The above expression can be evaluated as follow:
9×10² ÷ 3×10¹²
Recall:
3² = 9
3¹ = 3
Therefore,
9×10² ÷ 3×10¹² = 3²×10² ÷ 3¹×10¹²
Recall:
y^m ÷ y^n = y^(m – n)
Therefore,
3²×10² ÷ 3×10¹² = 3²¯¹ × 10²¯¹²
= 3¹ × 10¯¹⁰
Recall:
y¹ = y
Therefore,
3¹ × 10¯¹⁰ = 3 × 10¯¹⁰
Therefore,
9×10² ÷ 3×10¹² = 3 × 10¯¹⁰