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Evaluating Expressions Containing Negative Exponents

Evaluate:
[tex] \sf \: a. \: 5 {}^{ - 3} [/tex]
[tex] \sf \: b. \: \frac{1}{ {4}^{ - 2} } [/tex]


Sagot :

Answer:

[tex] \huge\color {red}\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit [/tex]

✒Evaluating Expressions

[tex] \huge\color {red}\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit [/tex]

Evaluate:

[tex] \sf \: a. \: 5 {}^{ - 3} [/tex]

[tex] \sf \: b. \: \frac{1}{ {4}^{ - 2} } [/tex]

[tex] \huge\color {red}\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit [/tex]

Solution:

[tex] \sf \: a. \: {5}^{- 3} = \frac{1}{ {5}^{3} } = \frac{1}{5 \: × \: 5 \: × \: 5} = \frac{1}{125} [/tex]

[tex] \sf \: b. \: \frac{1}{ {4}^{ - 2} } = \frac{1}{ \frac{1}{4 {}^{2} } } = {4}^{2} = 4 \: × \: 4 = 16[/tex]

[tex] \huge\color {red}\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit\heartsuit [/tex]