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Margarita [4]
2 years ago
8

What is the value of the expression (8^2/3)^1/2

Mathematics
1 answer:
nikklg [1K]2 years ago
3 0

\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2

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myrzilka [38]

Answer:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Step-by-step explanation:

Given

\frac{2}{3}\ of\ \frac{3}{5}

Solving (a): Multiplication sentence

\frac{2}{3}\ of\ \frac{3}{5}

Rewrite of as *

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{3}\ *\ \frac{3}{5}

Solve

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Hence, the multiplication sentence is:

\frac{2}{3}\ of\ \frac{3}{5} = \frac{2}{5}

Solving (b): Rectangular fraction model

In (a) above, the result is 2/5

The fraction model will be represented as thus:

  • Draw a rectangle
  • Partition in to 5 equal parts (5 represents the denominator)
  • Shade 2 of the 5 partitions (2 represents the numerator)

<em>See attachment for model</em>

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