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____ [38]
3 years ago
13

Evaluate the following expression. 6^-3

Mathematics
2 answers:
faust18 [17]3 years ago
3 0
6^(-3) = (\frac{1}{6})^3 = \frac{1}{216}
iris [78.8K]3 years ago
3 0

Answer:

value of 6^{-3} is \frac{1}{216}

Step-by-step explanation:

Given the expression:

6^{-3}

Using the rule:

a^{-n} = \frac{1}{a^n}

6^{-3}

Apply on this expression we have;

\frac{1}{6^3}

we can write 6^3 as:

6^3=6 \cdot 6 \cdot 6

then;

\frac{1}{6 \cdot 6 \cdot 6}

Simplify:

\frac{1}{216}

Therefore, the value of 6^{-3} is \frac{1}{216}

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Step-by-step explanation:

So this is a question that kind of uses spoken words rather than numbers and it involves PEMDAS (if you haven't gotten to PEMDAS yet, don't worry about it, it's ok, it's easy). PEMDAS is simply an acronym for Parenthesis, Exponent, Multiply, Divide, Add, Subtract. Its the order in wwhich you do more complicaterd math problems.

Lets break apart the question:

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