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1) Simplify the following expression:

[tex]\[ \frac{1}{8 \cdot 8 \cdot 8} = \frac{1}{512} \][/tex]

2) Simplify the following expression:

[tex]\[ 3 \cdot 3.3 \][/tex]


Sagot :

Sure, let's solve the problem step-by-step.

1) To find the value of [tex]\(\frac{1}{8 \cdot 8 \cdot 8}\)[/tex]:

- First, calculate [tex]\(8 \cdot 8 \cdot 8\)[/tex]. This is [tex]\(8^3\)[/tex], which equals 512.
- So, we have [tex]\(\frac{1}{512}\)[/tex].

The decimal value of [tex]\(\frac{1}{512}\)[/tex] is 0.001953125. Therefore, both the numerical value and its simplified fractional form are [tex]\(\frac{1}{512}\)[/tex] or 0.001953125.

2) To find the value of [tex]\(3 \cdot 3.3\)[/tex]:

- Multiply 3 by 3.3, which equals 9.899999999999999.

So, the results are:
- Fraction value: [tex]\(\frac{1}{512}\)[/tex] or 0.001953125
- Multiplication result: 9.899999999999999