Question
9^3 × 9 Write this expression as a simplified power
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Answered by
GPT-4o mini
To simplify the expression \(9^3 \times 9\), you can use the properties of exponents.
Recall that multiplying two powers with the same base means you add the exponents:
\[
a^m \times a^n = a^{m+n}
\]
In this case, the base is \(9\), so we can rewrite \(9\) as \(9^1\):
\[
9^3 \times 9^1 = 9^{3+1} = 9^4
\]
Therefore, the simplified power is:
\[
9^4
\]
Recall that multiplying two powers with the same base means you add the exponents:
\[
a^m \times a^n = a^{m+n}
\]
In this case, the base is \(9\), so we can rewrite \(9\) as \(9^1\):
\[
9^3 \times 9^1 = 9^{3+1} = 9^4
\]
Therefore, the simplified power is:
\[
9^4
\]
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