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How do you simplify #8- [ 14\div 7] ^ { 3} \cdot 2#?

Answer 1

Gabriel Agustin

#-8#

First, work in the brackets/parenthesis

# [14 div7] = 2#

# 8 - 2^3 * 2 #

Then do the exponent

# 8 - 8 * 2#

Multiply first

# 8 - 16#

then subtract

# -8 #

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Answer 2

Autumn Arnold

To simplify the expression 8 - [14 ÷ 7]^3 × 2:

Step 1: Solve the expression inside the brackets first: [14 ÷ 7]^3 = [2]^3 = 2^3 = 8. Step 2: Now substitute the value obtained in step 1 into the original expression: 8 - 8 × 2. Step 3: Perform multiplication first: 8 - 16. Step 4: Finally, perform subtraction: 8 - 16 = -8.

So, the simplified expression is -8.

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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.