Express the product of 3.2 x 106 and 4.1 x 101 in the standard form.

1.	Express the product of 3.2 x 106 and 4.1 x 101 in the standard form.
Answer» Given that, to find the product of 3.2 × 10⁶ and 4.1 × 10^–1 Product of 3.2 × 10⁶ and 4.1 × 10^–1 = (3.2 × 10⁶)( 4.1 × 10^–1) = (3.2 × 4.1) × 10⁶ × 10^-1 Using the law of exponent, a^m x aⁿ = a^m+n ⇒ 13.12 × 10⁵ = 1.312 × 10⁵ × 10¹ = 1.312 × 10⁶ ∴ The product of 3.2 × 10⁶ and 4.1 × 10^–1 in the standard form is 1.312 × 10⁶.

Answer»

Given that, to find the product of 3.2 × 10⁶ and 4.1 × 10^–1

Product of 3.2 × 10⁶ and 4.1 × 10^–1 = (3.2 × 10⁶)( 4.1 × 10^–1)

= (3.2 × 4.1) × 10⁶ × 10^-1

Using the law of exponent, a^m x aⁿ = a^m+n

⇒ 13.12 × 10⁵

= 1.312 × 10⁵ × 10¹

= 1.312 × 10⁶

∴ The product of 3.2 × 10⁶ and 4.1 × 10^–1 in the standard form is 1.312 × 10⁶.

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