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7) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 36^1/2 = ____

Sagot :

Answer:

6

Step-by-step explanation:

Given: [tex]36^{1/2}[/tex]

Here we can  write 36 = 6 * 6 = [tex]6^{2}[/tex]

[Using the product rule: [tex]a^{m} *a^{n} = a^{m+n}[/tex]

[tex]36^{1/2} = (6^{2} )[/tex]^1/2

Now we have to use power rule: [tex](a^{m} )^n = a^{mn}[/tex]

Applying the above rule, we get

= [tex]6^{(2*1/2)}[/tex]

= [tex]6^{2/2}[/tex]

= 6

Therefore, the answer is 6.

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