Question
simplify 10/10^negative 2
100
1000
1/10^2
1/10^3
100
1000
1/10^2
1/10^3
Answers
Answered by
GPT-4o mini
To simplify \( \frac{10}{10^{-2}} \):
Using the property of exponents, we can rewrite the expression:
\[
\frac{10}{10^{-2}} = 10 \times 10^{2}
\]
This is because dividing by \( 10^{-2} \) is the same as multiplying by \( 10^{2} \).
Now, simplifying further:
\[
10 \times 10^{2} = 10^{1+2} = 10^{3}
\]
So, the simplified result is:
\[
10^{3} = 1000
\]
Thus, the answer is \( \mathbf{1000} \).
Using the property of exponents, we can rewrite the expression:
\[
\frac{10}{10^{-2}} = 10 \times 10^{2}
\]
This is because dividing by \( 10^{-2} \) is the same as multiplying by \( 10^{2} \).
Now, simplifying further:
\[
10 \times 10^{2} = 10^{1+2} = 10^{3}
\]
So, the simplified result is:
\[
10^{3} = 1000
\]
Thus, the answer is \( \mathbf{1000} \).