Q15. - Algebra 2

Question

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$c^3+ab$

Step-by-Step Solution

Answer

Expression $c^3+ab$ results into $-21$

Step 1 - Order for simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step 2 – Perform Substitution

To evaluate given expression, first substitute the value 12 for a, 0.5 for b and -3 for c in expression.

 

$c^3+ab={\left(-3\right)}^3+\left(12\right)\left(0.5\right)$

Step 3 – Perform Simplification

To simplify further solve the exponent term followed by multiplication of terms and then apply subtraction between terms.

$\begin{array}{c}{\left(-3\right)}^3+\left(12\right)\left(0.5\right)=-27+\left(12\right)\left(0.5\right)\\ =-27+6\\ =-21\end{array}$