Question

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

Answer 1

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:
$$\begin{gathered} {\left(7\right)}^3 \\ =7\times 7\times 7 \\ =343 \end{gathered}$$
Then,
${\left(7\right)}^3-33$
$$\begin{gathered} =343-33 \\ =310 \end{gathered}$$
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.