Q24. - Algebra 1

Question

Evaluate each expression.

$\left(12-6\right)\cdot 5^2$

Step-by-Step Solution

Answer

The value of the expression $\left(12-6\right)\mathbf{\cdot }{\mathbf{5}}^{\mathbf{2}}$ is 150.

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

1. Evaluate the expressions inside the bracket
2. Evaluate the powers
3. Multiply and/or divide
4. Add and/ or subtract

The evaluation takes place from left to right.

Step 2. Evaluate the expression inside the bracket.

$\left(12-6\right)\cdot 5^2=6\cdot 5^2$

Step 3. Evaluate the power.

As per the order of operations, now evaluate the power $5^2$.

$\left(12-6\right)\cdot 5^2=6\cdot 25$

Step 4. Multiply 6 by 25.

Finally, multiply 6 by 25.

$\left(12-6\right)\cdot 5^2=150$

Therefore, the expression is equal to 150.