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 need to add the exponents together.
Since the base (7) is the same, the Product Rule states that the exponents can be added:
7^5 * 7^2 = 7^(5+2)
Therefore, 7^5 * 7^2 simplifies to 7^7.
To simplify the expression 7^5.7^2 using the Product Rule of Exponents, we need to multiply the two exponential terms together.
The Product Rule of Exponents states that when multiplying two terms with the same base, we keep the base the same and add the exponents.
In this case, the base is 7.
So, applying the Product Rule of Exponents:
7^5.7^2 = 7^(5+2)
Adding the exponents 5 and 2 yields:
7^(5+2) = 7^7
Therefore, the simplified expression is 7^7.
The Product Rule of Exponents states that when we multiply two numbers with the same base, we can add their exponents.
To simplify the expression 7^5.7^2, we can apply the Product Rule of Exponents.
First, we need to identify the base, which is 7 in this case.
Now, let's add the exponents. The first exponent is 5 and the second exponent is 2. So, 5 + 2 equals 7.
Therefore, 7^5.7^2 simplifies to 7^7.
In numerical form, 7^7 is equal to 823,543.