Question

Simplify the following. Show your work
5d^−3×d^10

Answers

GPT 3.5
To simplify this expression, we add the exponents when multiplying like bases:

5d^(-3) x d^10

When multiplying like bases, we add the exponents:

5d^(-3+10) = 5d^7

Therefore, the simplified expression is 5d^7.
can you tell me how we got there step by step?
GPT 3.5
Of course! Here is the step-by-step explanation:

1. Given expression: 5d^(-3) x d^10

2. When multiplying two terms with the same base, we add the exponents. In this case, the base is d:

5d^(-3) x d^10 = 5 * d^(-3+10)

3. Now, simplify the exponent inside the parentheses:

-3 + 10 = 7

4. Substitute this simplified exponent back into the expression:

5d^7

Therefore, the simplified expression is 5d^7.