Question

A) Work out (8 x 10*) * (2 x 10-)

Give your answer in standard form.
b) Work out (6 x 10?) + (3 x 10°)
Give your answer in standard form.

Answer 1

A. 16 × 10¯⁷

B. 2 × 10⁷

Explanation:

A. 8×10¯³ × 2×10¯⁴

Recall:

Mᵃ × Mᵇ = Mᵃ⁺ᵇ

Thus,

(8×10¯³) × (2×10¯⁴) = (8×2) × 10¯³ ⁺ ¯⁴

= 16 × 10¯³¯⁴

= 16 × 10¯⁷

Therefore,

(8×10¯³) × (2×10¯⁴) = 16 × 10¯⁷

B. (6×10²) ÷ (3×10¯⁵)

Recall:

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Thus,

(6×10²) ÷ (3×10¯⁵) = (6/3) × 10² ¯ ¯⁵

= 2 × 10²⁺⁵

= 2 × 10⁷

Therefore,

(6×10²) ÷ (3×10¯⁵) = 2 × 10⁷