How do you simplify #2^2 + 2^3 [4(3-1)(4+6)-13]#?

Answer 1

#2^2+2^3[4(3-1)(4+6)-13]=540#

The order of operations in such cases is given by the abbreviation PEMDAS, which stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction", in that order.

In #2^2+2^3{4(3-1)(4+6)-13}#, we should first solve parentheses and then other operations in the above order. This gives us

#2^2+2^3[4(3-1)(4+6)-13]#

= #2^2+2^3*[4*2*10-13]#

= #2^2+2^3*[80-13]#

= #4+8*67#

= #4+536#

= #540#

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Answer 2

Genesis Allen

[2^2 + 2^3 [4(3-1)(4+6)-13]]

[= 4 + 8[4 \cdot 2 \cdot 10 - 13]]

[= 4 + 8[80 - 13]]

[= 4 + 8[67]]

[= 4 + 536]

[= 540]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.