Calculate ${\left( 7 \right)^3} - 33$
A. 300
B. 305
C. 320
D. 330
E. 310

Hint: We will need to use the law of exponents, to find the value of ${\left( 7 \right)^3} - 33$

Complete step by step solution:
Now, to find the value of ${\left( 7 \right)^3} - 33$, first we will calculate the value of ${\left( 7 \right)^3}$
So, ${\left( 7 \right)^3}$can be written as cube of 7,
That is:
$
  {\left( 7 \right)^3} \\
   = 7 \times 7 \times 7 \\
   = 343 \\
 $
Then,
${\left( 7 \right)^3} - 33$
$
   = 343 - 33 \\
   = 310 \\
    \\
 $
So if we take away 33 from the cube of 7, that is ${\left( 7 \right)^3} - 33$ we will get the value as 310.

Hence the correct answer is Option E.

Note: If the cube of 7 is not calculated correctly then the value will be wrong.