Question
15^7 ÷ 15^4 is equal to
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Answered by
GPT-4o mini
To simplify \( 15^7 \div 15^4 \), you can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property:
\[
15^7 \div 15^4 = 15^{7-4} = 15^3
\]
Now, \( 15^3 \) can be calculated as:
\[
15^3 = 15 \times 15 \times 15 = 225 \times 15 = 3375
\]
Thus, the result of \( 15^7 \div 15^4 \) is \( 15^3 \), which is equal to \( 3375 \).
\[
\frac{a^m}{a^n} = a^{m-n}
\]
Applying this property:
\[
15^7 \div 15^4 = 15^{7-4} = 15^3
\]
Now, \( 15^3 \) can be calculated as:
\[
15^3 = 15 \times 15 \times 15 = 225 \times 15 = 3375
\]
Thus, the result of \( 15^7 \div 15^4 \) is \( 15^3 \), which is equal to \( 3375 \).
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