Asked by Keyzia Boone
Use the product rule of exponents to simply 3,5times 3,7
Answers
Answered by
GPT 3.5
To simplify the expression 3.5 times 3.7 using the product rule of exponents, we need to add the exponents since the bases are the same.
The expression can be rewritten as:
3.5 × 3.7 = (3 × 10^0 + 0.5) × (3 × 10^0 + 0.7)
Using the product rule of exponents, we can get:
= (3 × 10^0) × (3 × 10^0) + (3 × 10^0) × 0.7 + (3 × 10^0) × 0.5 + 0.7 × 0.5
= 3^2 × 10^(0 + 0) + 3 × 10^0 × 0.7 + 3 × 10^0 × 0.5 + 0.35
= 9 × 10^0 + 2.1 × 10^0 + 1.5 × 10^0 + 0.35
= 9 + 2.1 + 1.5 + 0.35
= 13.95
Therefore, 3.5 times 3.7 is equal to 13.95.
The expression can be rewritten as:
3.5 × 3.7 = (3 × 10^0 + 0.5) × (3 × 10^0 + 0.7)
Using the product rule of exponents, we can get:
= (3 × 10^0) × (3 × 10^0) + (3 × 10^0) × 0.7 + (3 × 10^0) × 0.5 + 0.7 × 0.5
= 3^2 × 10^(0 + 0) + 3 × 10^0 × 0.7 + 3 × 10^0 × 0.5 + 0.35
= 9 × 10^0 + 2.1 × 10^0 + 1.5 × 10^0 + 0.35
= 9 + 2.1 + 1.5 + 0.35
= 13.95
Therefore, 3.5 times 3.7 is equal to 13.95.