Does 4×(1+3^2) and 4×(1+3)^2 have the same answer?

Question

Does it have the same answer?

I dont think so but im not really sure

Answer 1

4*(1+3^2) = 4*(1+9) = 4*10 = 40

4*(1+3)^2 = 4*4^2 = 4*16 = 64

 

Yes, You are right. They do not have same answer. When it comes to order of operations, you do:

1. Parenthesis
2. Exponent
3. Multiply/divide
4. Add/Subtract

If one of these occur more than once in an expression, start with left most and finish on the right side.

Answer 2

4(1 + 3²) 

4(1 + 9)
4(10)

40

 

4(1 + 3)²

4(4)²

4(16)

64

Answer 3

No they do not due to the grouping parenthesis.

There is an acronym for remembering the order

of operations:  PEMDAS

Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction.

 

First you work the inside of any grouping parenthesis while

following the rest of the order above.  Then you do any

exponents.  Then from left to right you work any multiplication

and/or division in the order in which you encounter them.  Lastly,

you work left to right the addition and/or subtraction.

 

(1+3²) = 1+9 = 10

because the exponent is inside the parenthesis and is

thus not applied to the entire total, but only the 3

 

(1+3)² = 4² = 16

Since the exponent is outside the parenthesis it is

applied to the entire total of the equation inside.

 

This means that:

 

4*(1+3²) = 4(10) = 40

4(1+3)² = 4(4)² = 4(16) = 64