Question

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

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

a. $= 2^*(4)^6 - 1$
b. $= 2^*4^6 - 1$
c. $= 2^*(4^6 - 1)$
d. $= 2^*4^(6 - 1)$

c. choose the correct answer below

a. $= 2 + (3 - 7/9*3) + 5$
b. $= 2 + (3 - 7)/9*3 + 5$
c. $= 2 + 3 - 7/(9*3) + 5$
d. $= 2 + (3 - 7)/(9*3) + 5$

Explanation:

Part b (assuming we are solving part b first, but let's check the options for part b first, then part c)

Part b:

The original expression is \( = 2 \cdot 4^{6 - 1} \). In Excel, exponentiation is done with ^, and multiplication with . So we need to rewrite \( 4^{6 - 1} \) as \( 4^(6 - 1) \) (but in Excel formula, it's 4^(6-1)). Then multiply by 2. So the formula should be \( = 2 4^(6 - 1) \), which is option D: \( = 24^(6 - 1) \) (wait, the option D is \( = 24^(6 - 1) \)? Wait the options:

A. \( = 2*(4)^6 - 1 \)

B. \( = 2*4^6 - 1 \)

C. \( = 2*(4^6 - 1) \)

D. \( = 2*4^(6 - 1) \)

Yes, the original expression is \( 2 \cdot 4^{6 - 1} \), so in Excel, that's =2*4^(6-1), which is option D.

Part c:

The original expression is \( = 2 + \frac{3 - 7}{9 \times 3} + 5 \). In Excel, division is /, multiplication is , and we need to group the numerator \( 3 - 7 \) and denominator \( 9 * 3 \) with parentheses. So the formula should be \( = 2 + (3 - 7)/(9 3) + 5 \), which is option D: \( = 2 + (3 - 7)/(9*3) + 5 \).

Part b Answer:

The original expression is \( 2 \cdot 4^{6 - 1} \). In Excel, exponentiation uses ^, multiplication uses , and the exponent \( 6 - 1 \) is grouped as \( (6 - 1) \) (but in Excel, it's ^(6-1)). So the formula is \( = 24^(6 - 1) \), matching option D.

Part c Answer:

The original expression is \( 2 + \frac{3 - 7}{9 \times 3} + 5 \). In Excel, division is /, multiplication is , and the numerator \( 3 - 7 \) and denominator \( 9 * 3 \) are grouped with parentheses. So the formula is \( = 2 + (3 - 7)/(93) + 5 \), matching option D.

Answer:

D. \( = 2*4^(6 - 1) \)