Use the Product Rule of Exponents to simplify the expression 7 to the power of 5 ⋅7 to the power of 2.
The Product Rule of Exponents states that if you have a number raised to a power, and then that result raised to another power, you can simplify it by multiplying the exponents.
In this case, the expression is 7^5 multiplied by 7^2.
Applying the Product Rule of Exponents, we add the exponents: 5 + 2 = 7.
Therefore, 7^5 × 7^2 simplifies to 7^7.
To simplify the expression 7 to the power of 5 multiplied by 7 to the power of 2 using the Product Rule of Exponents, you need to add the exponents since the bases are the same.
The Product Rule of Exponents states that when you multiply two expressions with the same base, you can add their exponents.
In this case, since both expressions have the base 7, you can simplify it as follows:
7^5 * 7^2 = 7^(5+2)
By adding the exponents, the simplified expression becomes:
7^(5+2) = 7^7
Therefore, the simplified expression is 7 to the power of 7.
To simplify the expression using the Product Rule of Exponents, we need to multiply the two terms with the same base (in this case, 7) and add their exponents.
The given expression is 7^5 * 7^2.
According to the Product Rule of Exponents, when multiplying two terms with the same base, we add their exponents.
Therefore, we can rewrite the expression as 7^(5+2).
Simplifying the exponent inside the parentheses, we get 7^7.
Thus, the simplified expression is 7^7.