Question

1 - properties of exponents and order of operations
score on last attempt: 0.7 out of 2
score in gradebook: 0.7 out of 2
reattempt last question below, or select another question

use the order of operations to simplify each expression.
a. simplify ( 5 + 8(12) div (6) - 2 ).
( 5 + 8(12) div (6) - 2 = ) 97
b. simplify ( 6(4 + 5)^2 - 7 ).
( 6(4 + 5)^2 - 7 = ) 1469
c. simplify ( -(17 - 2^2) + 8 ).
( -(17 - 2^2) + 8 = ) -5

points possible: 2
unlimited attempts.
score on last attempt: 0.7. score in gradebook: 0.7
message instructor about this question
post this question to forum

submit

when you are done, click here to see a summary of your scores.

Explanation:

Part a

Step1: Multiply and divide (left to right)

First, calculate \(8(12) = 96\) and \(96\div6 = 16\). So the expression becomes \(5 + 16 - 2\).

Step2: Add and subtract (left to right)

\(5 + 16 = 21\), then \(21 - 2 = 19\).

Step1: Simplify inside the parentheses

First, calculate \(4 + 5 = 9\). The expression becomes \(6(9)^2 - 7\).

Step2: Calculate the exponent

\(9^2 = 81\), so now we have \(6\times81 - 7\).

Step3: Multiply

\(6\times81 = 486\).

Step4: Subtract

\(486 - 7 = 479\).

Step1: Simplify the exponent inside the parentheses

\(2^2 = 4\), so the expression inside the parentheses is \(17 - 4 = 13\).

Step2: Apply the negative sign

\(-(13)= - 13\).

Step3: Add 8

\(-13 + 8 = - 5\).

Answer:

\(19\)

Part b