Question

simplify the expression below using order of operations.
$6^2 \times 1 - (10^1 + 5)$

Explanation:

Step1: Calculate the exponent

First, we calculate the exponent \(6^2\). By the definition of exponents, \(a^n\) means multiplying \(a\) by itself \(n\) times. So \(6^2 = 6\times6 = 36\).

Step2: Calculate the exponent in the parentheses

Next, we calculate the exponent inside the parentheses, \(10^1\). By the definition of exponents, any number to the power of 1 is itself, so \(10^1=10\). Then we add 5 to it: \(10 + 5=15\).

Step3: Perform the multiplication and subtraction

Now we substitute the values we found back into the original expression. The original expression is \(6^2\times1-(10^1 + 5)\). We already know \(6^2 = 36\) and \(10^1+5 = 15\), and \(36\times1 = 36\). Then we subtract: \(36-15 = 21\).

Answer:

21