Question

Find the value of x
7^3x divided by 7^-3=7^6

Answer 1

Question: Find the value of x in $7^{3x}$ ÷  $7^{-3}$ = 7⁶

Answer:

${7}^{3x - - 3} \: = {7}^{6}$

${7}^{3x + 3} = {7}^{6}$

On equating the powers of 7:

3x+3 = 6

3x = 6-3

3x = 3

$x = \frac{3}{3}$

x = 1 ---> Answer

Check:

By putting the value of x as 1;

$\frac{7^{3*1}}{{7}^{-3}} = 7^{6}$

7³÷${7}^{-3}$ = 7⁶

${7}^{3--3}$ = 7⁶

$7^{3+3} = 7^{6}$

7⁶ = 7⁶,

HENCE VERIFIED

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⭐Concepts used⭐

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$\frac{a^{m}}{a^{n}} = a^{m-n}$