Question

by what number shoud we multiply 3^4 so that the product is 3^7

Answer 1

Answer:

we will multiply it with 3³.

Step-by-step explanation:

3⁴×X=3⁷

3⁴/3⁷=X

3³=X

Answer 2

3⁴

Step-by-step explanation:

Q.

By what number should we multiply 3⁴ so that the product is 3⁷

Solution -

Let the number as x,

$= > {3}^{4} \times x = {3}^{7} \\ \\ = > x = \frac{ {3}^{7} }{ {3}^{4} } \\ \\ = > x = {3}^{7 - 4} \\ \\ = > x = {3}^{3}$

Hence we have to multiply 3³ by 3⁴ to get product as 3⁷.

.

Note :-

When bases are same (let x),

${x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \\( {x}^{m} {)}^{n} = {x}^{m \times n}$

Using the second one we solved this problem.

hope it helps.