Question

3²×8 - 5 - 1

1. ((5 - 3)²)/(2×7 - 5)

friend so they can better understand
solve multi - step expressions. describe
this problem: 25 - 3(2³) + 9

Explanation:

Solving \( 3^2 \times 8 - 5 - 1 \)

Step1: Calculate the exponent

First, we handle the exponentiation in \( 3^2 \). By the definition of exponents, \( 3^2=3\times3 = 9\).
So the expression becomes \( 9\times8-5 - 1\).

Step2: Perform the multiplication

Next, we do the multiplication operation \( 9\times8\). \( 9\times8 = 72\).
Now the expression is \( 72-5 - 1\).

Step3: Perform the subtractions

We perform the subtractions from left to right. First, \( 72-5=67\). Then, \( 67 - 1=66\).

Step1: Calculate the numerator's parentheses

First, we calculate the expression inside the parentheses in the numerator: \( 5 - 3=2\).
Then we square the result: \( 2^2 = 4\). So the numerator is \( 4\).

Step2: Calculate the denominator

We calculate the denominator \( 2\times7-5\). First, perform the multiplication \( 2\times7 = 14\). Then subtract \( 5\): \( 14-5 = 9\). So the denominator is \( 9\).

Step3: Divide the numerator by the denominator

Now we divide the numerator by the denominator: \( \frac{4}{9}\).

Step1: Calculate the exponent

First, we handle the exponentiation in \( 2^3\). By the definition of exponents, \( 2^3=2\times2\times2=8\).
The expression becomes \( 25-3\times8 + 9\).

Step2: Perform the multiplication

Next, we do the multiplication operation \( 3\times8\). \( 3\times8=24\).
Now the expression is \( 25 - 24+9\).

Step3: Perform the additions and subtractions

We perform the operations from left to right. First, \( 25-24 = 1\). Then, \( 1+9=10\).

Answer:

\( 66 \)

Solving \( \frac{(5 - 3)^2}{2\times7-5} \)