Use the Product Rule of Exponents to simplify 35⋅37
(1 point)
Responses
935
9 to the 35th power
335
3 to the 35th power
912
9 to the 12th power
312
3 to the 12th power
To simplify 35⋅37 using the Product Rule of Exponents, we need to add the exponents when multiplying powers with the same base.
In this case, the base is 3, and the exponents are 5 and 7.
Using the Product Rule, we add the exponents together: (3^5)⋅(3^7) = 3^(5+7) = 3^12.
Therefore, the simplified expression is 3 to the 12th power.
To simplify the expression using the Product Rule of Exponents, we need to multiply the bases together and keep the exponent the same.
In this case, we have 3 to the power of 5 multiplied by 3 to the power of 7. According to the Product Rule of Exponents, when multiplying two numbers with the same base, we add their exponents together.
So, 3 to the power of 5 multiplied by 3 to the power of 7 is equal to 3 to the power of (5+7), which simplifies to 3 to the power of 12.
Therefore, the correct answer is 312.