Question

Suppose that a friend missed class and never learned what 25 1/2 means.

Use exponent rules your friend would already know to calculate 25 1/2 X 251/2 .
Explain why this means 25 1/2=5 .

Answer 1

$25^{\frac{1}{2} }$  = 5 because $25^{\frac{1}{2} }$ = √25 and  √25 = 5.

Using exponent rule,

$25^{\frac{1}{2} }$ = √25

Any number raised to the power of half (1 / 2), is the same as the square

root of that number. It is represented mathematically as follows:

$a^{\frac{1}{2} }$ = $\sqrt{a}$

Therefore,

To find that $25^{\frac{1}{2} }$  = 5 can be resolved as follows:

Since $25^{\frac{1}{2} }$ = √25

√25 = 5

Therefore,

$25^{\frac{1}{2} }$  = 5

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