Question 514384
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Use the principle of dividing exponentials with the same base
by subtracting exponents:

{{{(3^(4x-8))/(3^(x+3))}}}

Put both exponents in parentheses:

{{{(3^((4x-8)))/(3^((x+3)))}}}

Divide by subtracting exponents, keeping the base 3

{{{3^((4x-8)-(x+3))}}}

Simplify the exponent by removing parentheses

{{{3^(4x-8-x-3)}}}

Combine like terms in the exponent:

{{{3^(3x-11)}}}

Edwin</pre>