Use the Product Rule of Exponents to simplify the expression 7^5 7^2
To simplify the expression 7^5 * 7^2 using the Product Rule of Exponents, we add the exponents together since the bases (7) are the same.
7^5 * 7^2 = 7^(5+2) = 7^7
The Product Rule of Exponents states that when you multiply two numbers with the same base, you add their exponents.
In this case, we have the expression 7^5 multiplied by 7^2.
Since the base is the same (which is 7), we can apply the Product Rule of Exponents and add the exponents:
7^5 * 7^2 = 7^(5+2)
Simplifying further:
7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.
To simplify the expression 7^5 * 7^2 using the Product Rule of Exponents, we need to add the exponents together while keeping the base the same.
The Product Rule states that when multiplying two powers with the same base, you add the exponents together.
In this case, the base is 7 and we have the expression 7^5 * 7^2.
To apply the Product Rule, we add the exponents together:
7^5 * 7^2 = 7^(5 + 2)
Now, we evaluate the exponent:
7^(5 + 2) = 7^7
Therefore, the expression 7^5 * 7^2 simplifies to 7^7.