Question

Find x of the following:

${ - 9}^{4} \div { - 3}^{4} = {3}^{x}$


${7}^{3} \div {2}^{x} = \frac{ {7}^{3} }{2}$


$|\frac{ {8}^{5} }{9 } | \times | \frac{ {9}^{5} }{4} | = {2}^{x}$

Solve All The Questions
​

Answer 1

Hi Mate.

I don't know the answer of the last question

but I know the answer of the first 2 questions

ANSWER:

Given that,

$1) { - 9}^{4} \div { - 3}^{4} = {3}^{x}$

Divide rewrite

$\: \: \: \: {3}^{8} \div {3}^{4} = {3}^{x} \:$

Calculate the quotient

$\: \: \: \: {3}^{4} = {3}^{x}$

Swap the two sides

$\: \: \: \: {3}^{x} = {3}^{4}$

$\: \: \: \: x = 4$

$2) {7}^{3} \div {2}^{x} = \frac{ {7}^{3} }{2}$

Determine the defined change

$\frac{ {7}^{3} }{2x} = \frac{343}{2}$

Evaluate the power

$\frac{343}{ {2}^{2} } = \frac{343}{2}$

Set the denominators equal

${2}^{x} = {2}^{1}$

Set the exponents equal

$x = 1$

I hope you are happy

So please mark my answer as brainlist answer.