Evaluate the following: (with solution)
[tex]1.) \: \ \frac{1}{ {2}^{ - 3} } [/tex]
2.) [2³ — 3² + 4³] ⁰
[tex]1.) \: \ \frac{1}{ {2}^{ - 3} } [/tex]
2.) [2³ — 3² + 4³] ⁰
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Solution:
Remove parentheses.
Use Negative power rule:
simplify 2³ to 8.
Answer:
8
2. [2³ - 3² + 4³]⁰
Simplify 2³ to 8.
(8 - 3² + 4³)⁰
Simplify 3² to 9.
(8 - 9 + 4³)⁰
Simplify 4³ to 64.
(8 - 9 + 64)⁰
Simplify 8 - 9 to -1.
(-1 + 64)⁰
Simplify -1 + 64 to 63.
63⁰
Use Rule of Zero:
Answer:
1
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