Use the Power Rule of Exponents to simplify the expression (734)5.(1 point)
The Power Rule of Exponents states that (a^m)^n = a^(m*n).
In this case, we have (734)^5 = (7^5)(3^5)(4^5).
So the simplified expression is (7^5)(3^5)(4^5).
To simplify the expression (734)^5 using the Power Rule of Exponents, you need to apply the rule that states that when you raise a power to an exponent, you multiply the exponents.
In this case, (734)^5 means raising 734 to the 5th power.
Using the Power Rule, you can multiply the exponent of each factor within the parentheses by the exponent outside the parentheses, which is 5.
So, (734)^5 = 7^5 * 3^5 * 4^5.
Now let's calculate each factor raised to the 5th power:
7^5 = 7 * 7 * 7 * 7 * 7 = 16,807,
3^5 = 3 * 3 * 3 * 3 * 3 = 243, and
4^5 = 4 * 4 * 4 * 4 * 4 = 1,024.
Therefore, (734)^5 simplifies to:
16,807 * 243 * 1,024 = 4,115,820,544.
So, the simplified expression is 4,115,820,544.