By what number should three be multiplied so that the product is 729�

1.	By what number should three be multiplied so that the product is 729’?
Answer» Given number = 3^-4 Given product = 729 [∵ 3⁶ = 729] Let the number to be multiplied be x then ⇒ (3^-4) . (x) = 3⁶ ⇒ x/3⁴ =3⁶ [∵ a^m × nⁿ = a^m+n] ⇒ x = 3⁶ × 3⁴ = 3¹⁰

By what number should three be multiplied so that the product is 729’?

Answer»

Given number = 3^-4

Given product = 729 [∵ 3⁶ = 729]

Let the number to be multiplied be x then

⇒ (3^-4) . (x) = 3⁶ ⇒ x/3⁴ =3⁶

[∵ a^m × nⁿ = a^m+n]

⇒ x = 3⁶ × 3⁴ = 3¹⁰