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Simplify the expression and what you did with the exponents
b^12/b^4

1 answer

To simplify the expression \(\frac{b^{12}}{b^{4}}\), we can use the property of exponents that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

In this case, we have \(a = b\), \(m = 12\), and \(n = 4\).

So, we apply this property:

\[ \frac{b^{12}}{b^{4}} = b^{12 - 4} \]

Now, we subtract the exponents:

\[ b^{12 - 4} = b^{8} \]

Thus, the simplified expression is:

\[ b^{8} \]