^use the product rule of exponents to simplify the expression 3^5 ⋅ 3^7
To simplify the expression 3^5 ⋅ 3^7 using the product rule of exponents, we add the exponents when multiplying powers with the same base.
So, 3^5 ⋅ 3^7 can be simplified as follows:
3^5 ⋅ 3^7 = 3^(5+7) = 3^12
Therefore, the simplified expression is 3^12.
To simplify the expression 3^5 ⋅ 3^7 using the product rule of exponents, we need to add the exponents together while keeping the base the same.
According to the product rule of exponents, if you have the same base raised to different exponents, you can multiply the base and add the exponents.
In this case, we have 3 raised to the power of 5 multiplied by 3 raised to the power of 7. Since the base is the same (which is 3), we can add the exponents together.
So the simplified expression is:
3^(5+7)
The exponent 5+7 equals 12, so the simplified expression is:
3^12
To simplify the expression 3^5 ⋅ 3^7 using the product rule of exponents, we need to add the exponents together.
The product rule of exponents states that when multiplying two powers with the same base, you can add their exponents together.
In this case, the base is 3, and the exponents are 5 and 7.
So, to simplify the expression, we add the exponents:
3^5 ⋅ 3^7 = 3^(5+7)
Now, we can simplify the exponent by adding 5 and 7 together:
3^(5+7) = 3^12
Therefore, the simplified expression using the product rule of exponents is 3^12.