Simplify:10−1 × 102 × 10−3 × 104 × 10−5 × 106;

Question

Philoid · Accepted Answer

Since the bases are same so their powers are solved algebraically

10⁻¹ × 10² × 10⁻³ × 10⁴ × 10⁻⁵ × 10⁶ = 10^{(-1 + 2-3 + 4-5 + 6)}

On solving we get,

⇒ 10⁻¹ × 10² × 10⁻³ × 10⁴ × 10⁻⁵ × 10⁶ = 10³

Simplify:
10⁻¹ × 10² × 10⁻³ × 10⁴ × 10⁻⁵ × 10⁶;