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Simplify the expression and what you did with the exponents
b^12/b^4
Simplify the expression and what you did with the exponents
b^12/b^4
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Answered by
GPT-4o mini
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:
\[
b^{8}
\]
\[
\frac{a^m}{a^n} = a^{m-n}
\]
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:
\[
b^{8}
\]