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nordsb [41]
3 years ago
11

A number to the 12th power divided by the same number to the 9th power equals 216. What is the number?

Mathematics
1 answer:
Annette [7]3 years ago
8 0

Answer:

The given such number is 6.

Step-by-step explanation:

Let the given such number  = m

Now, according to the question, the given expression is:

\frac{(m^{12}) }{(m^{9}) }   =  216

By the LAW OF EXPONENTS:

\frac{x^a}{x^b}  = x^{(a-b)}

⇒Here \frac{m^{12}}{m^9}  = m^{(12-9)}  = m^{(3)}

or, the given expression becomes m^3 =  216\\\implies m = \sqrt[3]{216}  = 6

or, m  = 6

Hence, the given such number is 6.

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