How do you simplify ${(10^{8})}^{\frac{3}{2}}$ $(10^8)^(3/2)$ ?

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Answer 1 · 2017-05-10T10:49:27

Simply multiply power terms ( $8 \cdot \frac{3}{2}$ $8*3/2$ )

If you have more than one power term, multiply them yielding onle one power term.

For your equation, for instance, multiply $8$ $8$ by $\frac{3}{2}$ $3/2$

You will get power term as $\frac{24}{2}$ $24/2$ or simply $12$ $12$

Now you can write your equation as

$10^{12}$ $10^12$ which is a trillion (1,000,000,000,000).

Your answer is $10^{12}$ $10^12$ .

How do you simplify (10^8)^(3/2)(108)32(10^8)^(3/2)?