Question

Evaluate the expression.

Answer 1

`\sf2 \cdot \cfrac{7(3 {}^(2)) }{3} = \boxed{ \bf 42}`

Explanation:

Given expression:

`\sf2 \cdot \cfrac{7(3 {}^(2)) }{3}`

To :

• Evaluate the expression.

Solution:

Let's use PEMDAS for evaluating.

• P stands for Parentheses
• E for exponents
• M for multiplication
• D for Division
• A for addition
• S for subtraction

`\sf2 \cdot \cfrac{7(3 {}^(2)) }{3}`

`\rightarrow 2 * \cfrac{7(9)}{3}`

`\rightarrow \: 2 * \cfrac{63}{3}`

`\rightarrow \: \cfrac{2 * \cancel{63} \: \: {}^(21) }{ \cancel3 \: \: {}^(1) }`

`\rightarrow2 * 21`

`\longrightarrow \sf \: 42`

Hence we can conclude:

`\sf2 \cdot \cfrac{7(3 {}^(2)) }{3} = \boxed{ \bf 42}`

Answer 2

42

Explanation:

We use (BODMAS) :

Brackets

Order/Index

Division

Multiplication

Addition

Subtraction

Now we do bracket first :

7(3²) = 7(9) = 63

Now we do division :

63÷3 = 21

Now we do multiplication :

2 × 21 = 42

Hope this helped and have a good day