Using the Product Rule of Exponents, what is the exponent of 7 to the 2ed power times 7 to the 3rd power in exponential simplest form?
To find the exponent of a product of two powers with the same base, you add the exponents.
So, if we have 7 raised to the 2nd power times 7 raised to the 3rd power, we add the exponents:
2 + 3 = 5
Therefore, the exponent of 7 to the 2nd power times 7 to the 3rd power is 5.
The Product Rule of Exponents states that when multiplying two numbers with the same base, you add their exponents.
In this case, we have 7 raised to the 2nd power (7^2) and 7 raised to the 3rd power (7^3).
To find the exponent of their product, we simply add the exponents together:
2 + 3 = 5
Therefore, the exponent of 7 raised to the 2nd power times 7 raised to the 3rd power is 5.
In exponential simplest form, it can be written as 7^5.
To simplify the expression (7^2) * (7^3) using the Product Rule of Exponents, we can add the exponents since we are multiplying two powers with the same base.
The Product Rule of Exponents states that when multiplying two powers with the same base, we add the exponents.
In this case, we have (7^2) * (7^3). To simplify, we add the exponents 2 and 3 since the base is the same, which is 7.
Using the Product Rule of Exponents, we add the exponents:
(7^2) * (7^3) = 7^(2 + 3) = 7^5.
Therefore, the exponent of 7 to the 2nd power times 7 to the 3rd power in simplest form is 7^5.