Answer:
19
Step-by-step explanation:
Let the number be 'x'
Given:
The value of 'x' is defined as the quotient of 6 raised to the power of 3 and 9, decrease by 5.
The quotient of [tex]6^3[/tex] and 9 is given as:
[tex]Q=\frac{6^3}{9}\\Q=\frac{6\times 6\times 6}{9}\\Q=\frac{216}{9}=24[/tex]
Now, the quotient is decreased by 5. So, the number 'x' is:
[tex]x=Q-5[/tex]
Plug in 24 for 'Q' and solve for 'x'. This gives,
[tex]x=24-5\\x=19[/tex]
Therefore, the number defined by the statement "the quotient of 6 raised to the power of 3 and 9, decrease by 5" is 19.
