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Len [333]
3 years ago
11

What is the simplified form of the following expression? 4/7^3

Mathematics
2 answers:
Gnesinka [82]3 years ago
7 0

Answer:

\frac{64}{343}

Step-by-step explanation:

The given expression is

(\frac{4}{7})^3

We need to find the simplified form of the given expression.

Using the distributive power property of exponent the given expression can be rewritten as

(\frac{4}{7})^3=\frac{4^3}{7^3}           [\because(\frac{a}{b})^x=\frac{a^x}{b^x}]

In can be written as

(\frac{4}{7})^3=\frac{4\times 4\times 4}{7\times 7\times 7}

On further simplification we get

(\frac{4}{7})^3=\frac{64}{343}

Therefore the simplified form of the given expression is \frac{64}{343}.

timofeeve [1]3 years ago
6 0
If your question is :
\frac{4}{7^3}

Then the answer is:
\frac{4}{7*7*7} =  \frac{4}{343}

If your question is:
(\frac{4}{7}) ^{3}

Then the answer is:
\frac{4*4*4}{7*7*7} =  \frac{64}{343}
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