Question

please answer this question​

Answer 1

$\large\mathcal \red \bigstar{\underline{\purple{GIVEN:-}}}$

1).Plot the (1+3/4) and its addictive inverse on the number line.

2).Solve for x.

${2}^{2x} \div {2}^{x + 9} = ( { {4}^{3} })^{4}$

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$\large\mathcal \red \bigstar{\underline{\green{SOLUTION:-}}}$

1)- What is addictive Inverse?

Addictive inverse of a number is equal to the number which when added to the number the solution be 0.

Example:-

The additive inverse of −5 is +5, because −5 + 5 = 0

The additive inverse of +5 is −5, because +5 − 5 = 0

(IN THE ATTACHMENT ABOVE)

Observation:-

We observed that distance of 7/4 from 0 is equal to the distance between 0 and -7/4

2)-Value of x:-

${2}^{2x} \div {2}^{x + 9} = ( { {4}^{3} })^{4}$

$\frac{ {2}^{2x} }{ {2}^{x + 9} } = ( { {4}^{3} })^{4}$

${2}^{2x - x - 9} = ( { {4}^{3} })^{4}$

${2}^{x - 9} = ( { { ({2}^{2}) }^{3} })^{4}$

${2}^{x - 9} = {2}^{24}$

Comparing powers of both....

WE GET:-

$x - 9 = 24$

$x = 24 + 9$

$x = 33$