Question

rewrite the following expressions as a formula that can be typed into excel

a. $=\dfrac{3 - 4}{6} + 8$
b. $=2\cdot 4^{6 - 1}$
c. $=2 + \dfrac{3 - 7}{9 \times 3} + 5$
d. $=\left(\dfrac{7}{4\cdot 3^{2}}\
ight)^{2}$

a. $=(3 - 4)/6 + 8$
b. $=((3 - 4)/(6 + 8))$
c. $=3 - 4/6 + 8$
d. $=(3 - 4/6) + 8$
b. choose the correct answer below.
a. $=2^*(4)^6 - 1$
b. $=2*4^6 - 1$
c. $=2^*(4^6 - 1)$
d. $=2*4^(6 - 1)$

Explanation:

Part a

Step 1: Analyze the original expression

The original expression is \(\frac{3 - 4}{6}+8\). In Excel, we use parentheses to group operations and the forward slash for division.

Step 2: Evaluate each option

• Option A: \(=(3 - 4)/6 + 8\) correctly groups \(3 - 4\) first, then divides by 6, and finally adds 8. This matches the original expression.
• Option B: \(=((3 - 4)/(6 + 8))\) groups \(6 + 8\) in the denominator, which is not what the original expression has (the original denominator is just 6, and 8 is added after the division).
• Option C: \(=3 - 4/6 + 8\) would perform \(4/6\) first, then \(3 - (4/6)\), which is not the same as \((3 - 4)/6\).
• Option D: \(=(3 - 4/6)+8\) also performs \(4/6\) first inside the parentheses, not \((3 - 4)\) divided by 6.

Part b

Step 1: Analyze the original expression

The original expression is \(2\cdot4^{6 - 1}\). In Excel, the exponentiation operator is ^, and we need to group the exponent \(6 - 1\) correctly.

Step 2: Evaluate each option

• Option A: \(=2*(4)^6 - 1\) calculates \(4^6\) first, multiplies by 2, then subtracts 1. But the original exponent is \(6 - 1\), not 6.
• Option B: \(=2*4^6 - 1\) has the exponent as 6, not \(6 - 1\), and also the subtraction of 1 is outside the exponentiation, but in the original expression, the exponent is \(6 - 1\), and the entire \(4^{6 - 1}\) is multiplied by 2.
• Option C: \(=2*(4^6 - 1)\) subtracts 1 after exponentiating 4 to the 6th power, which is not the same as \(4^{6 - 1}\).
• Option D: \(=2*4^(6 - 1)\) correctly represents \(4\) raised to the power of \((6 - 1)\) (using ^ for exponentiation in Excel) and then multiplied by 2, which matches the original expression \(2\cdot4^{6 - 1}\).

Answer:

A. \(=(3 - 4)/6 + 8\)