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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


Sagot :

Answer:

The answers are

a. 15

b. 27

c. 4

d. 72

e. 2

f. 9

g. 1

Step-by-step 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

[tex]7+2^3[/tex]

[tex]2^3 = 8[/tex]

[tex]8 + 7 = 15[/tex]

Hence, 15 is your answer.

b. 9 • 3¹

[tex]9*3^1[/tex]

⇒ [tex]9*(3)[/tex]

⇒ [tex]27[/tex]

Hence, 27 is your answer.

c. 20 - 2⁴

[tex]20 - 2^4[/tex]

[tex]2^4 = 16[/tex]

[tex]20-16 = 4[/tex]

Hence, 4 is your answer.

d. 2 • 6²

[tex]2 * 6^2[/tex]

⇒ [tex]2*6^2[/tex]

⇒ [tex]2*(6*6)[/tex]

⇒ [tex]72[/tex]

Hence, 72 is your answer.

e. 8 • (1/2)²

[tex]8 * (\frac{1}{2})^2[/tex]

⇒ [tex]8*((\frac{1}{2})*(\frac{1}{2}))[/tex]

⇒ [tex]2[/tex]

Hence, 2 is your answer.

f. 1/3 • 3³

[tex]\frac{1}{3} * 3^3[/tex]

⇒ [tex]9[/tex]

Hence, 9 is your answer.

g. (1/5 • 5)⁵

[tex](\frac{1}{5} * 5)^5[/tex]

⇒ [tex]1*1*1*1*1[/tex]

⇒ [tex]1[/tex]

Hence, 1 is your answer.

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