Question

please help, ive been putting 3 for the coefficient and 14 for the exponent but, it keeps saying it’s wrong. any help is appreciated.

Answer 1

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