Question
or
Simplify. Express your answer using positive exponents.
(10d)(5d7)
Answers
GPT-4o mini
To simplify the expression \((10d)(5d^7)\), we can multiply the coefficients (the numerical parts) and the variables separately.
1. Multiply the coefficients:
\[
10 \times 5 = 50
\]
2. Multiply the variables:
\[
d \times d^7 = d^{1+7} = d^8
\]
Now, combine the results:
\[
(10d)(5d^7) = 50d^8
\]
The simplified expression is:
\[
\boxed{50d^8}
\]
1. Multiply the coefficients:
\[
10 \times 5 = 50
\]
2. Multiply the variables:
\[
d \times d^7 = d^{1+7} = d^8
\]
Now, combine the results:
\[
(10d)(5d^7) = 50d^8
\]
The simplified expression is:
\[
\boxed{50d^8}
\]