Question

Evaluate each expression.

a. 7 + 2³
b. 9 • 3¹
c. 20 - 2⁴
d. 2 • 6²
e. 8 • (1/2)²
f. 1/3 • 3³
g. (1/5 • 5)⁵

Answer 1

The answers are

→ a. 15

→ b. 27

→ c. 4

→ d. 72

→ e. 2

→ f. 9

→ g. 1

Explanation:

Given expressions:

a. 7 + 2³

b. 9 • 3¹

c. 20 - 2⁴

d. 2 • 6²

e. 8 • (1/2)²

f. 1/3 • 3³

g. (1/5 • 5)⁵

Solve:

a. 7 + 2³

`7+2^3`

`2^3 = 8`

`8 + 7 = 15`

Hence, 15 is your answer.

b. 9 • 3¹

`9*3^1`

⇒
`9*(3)`

⇒
`27`

Hence, 27 is your answer.

c. 20 - 2⁴

`20 - 2^4`

`2^4 = 16`

`20-16 = 4`

Hence, 4 is your answer.

d. 2 • 6²

`2 * 6^2`

⇒
`2*6^2`

⇒
`2*(6*6)`

⇒
`72`

Hence, 72 is your answer.

e. 8 • (1/2)²

`8 * ((1)/(2))^2`

⇒
`8*(((1)/(2))*((1)/(2)))`

⇒
`2`

Hence, 2 is your answer.

f. 1/3 • 3³

`(1)/(3) * 3^3`

⇒
`9`

Hence, 9 is your answer.

g. (1/5 • 5)⁵

`((1)/(5) * 5)^5`

⇒
`1*1*1*1*1`

⇒
`1`

Hence, 1 is your answer.

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