(6 × 104 + 3 × 104)(3 × 102)

Question

What is the value of the expression in scientific notation?

Answer 1

If your question means;

( 6 ∙ 104 + 3 ∙ 104 ) 3 ∙ 102

then

( 6 ∙ 104 + 3 ∙ 104 ) 3 ∙ 102 = 9 ∙ 104 ∙ 3 ∙ 102 = 286416 = 2.86416 ∙ 10⁵

But if your question means:

( 6 ∙ 10⁴ + 3 ∙ 10⁴ ) ∙ 3 ∙ 10²

then

( 6 ∙ 10⁴ + 3 ∙ 10⁴ ) ∙ 3 ∙ 10² = 9 ∙ 10⁴ ∙ 3 ∙ 10² = 9 ∙ 3 ∙ 10⁴ ∙ 10² =

27 ∙ 10⁴ ⁺ ² = 2.7 ∙ 10 ∙ 10⁶ = 2.7 ∙ 10¹ ∙ 10⁶ = 2.7 ∙ 10¹ ⁺ ⁶ = 2.7 ∙ 10⁷

Answer 2

(6 * 10^4 + 3 * 10^4)(3 * 10^2)
= 9*10^4(3*10^2)
= 27*10^6
= 2.7 * 10^7