Use the product rule of exponents to simply 3,5times 3,7
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.
To simplify (3^5)(3^7) using the product rule of exponents, you need to add the exponents since the base (which is 3 in this case) is the same.
The product rule states that for any base, when multiplying two exponents with the same base, you need to add the exponents.
So, (3^5)(3^7) = 3^(5+7).
Adding the exponents, we get:
3^(12).
Therefore, the simplified form of (3^5)(3^7) is 3^12.
To simplify the expression 3^5 * 3^7 using the product rule of exponents, first recall the rule which states that when multiplying two terms with the same base, you can add their exponents.
In this case, both terms have the base 3. Therefore, we can apply the product rule of exponents:
3^5 * 3^7 = 3^(5+7)
Now, we add the exponents together:
3^5 * 3^7 = 3^12
So, 3^5 * 3^7 simplifies to 3^12.