Power Rule of Exponents Practice
Math 8 Q1 (Pre-Algebra) / Exponent Rules
Use the Power Rule of Exponents to simplify the expression (734)5.(1 point)
To simplify the expression (734)5 using the Power Rule of Exponents, we need to raise each factor inside the parentheses to the 5th power.
(734)5 = (7^5)(3^5)(4^5)
Now we can simplify each factor:
7^5 = 7 * 7 * 7 * 7 * 7 = 16807
3^5 = 3 * 3 * 3 * 3 * 3 = 243
4^5 = 4 * 4 * 4 * 4 * 4 = 1024
Therefore, (734)5 simplifies to 16807 * 243 * 1024.
what is the answer
To find the answer, we need to multiply:
16807 * 243 * 1024 ≈ 192862167680
So, the simplified expression (734)5 is approximately equal to 192,862,167,680.
To simplify the expression (734) multiplied by 5 using the Power Rule of Exponents, we need to apply the exponent to each factor inside the parenthesis:
(734)5 = 7^5 * 3^5 * 4^5
To find the value of each factor raised to the power of 5, we can multiply them using the rules of exponents:
7^5 = 7 * 7 * 7 * 7 * 7 = 16,807
3^5 = 3 * 3 * 3 * 3 * 3 = 243
4^5 = 4 * 4 * 4 * 4 * 4 = 1,024
Therefore, (734)5 = 16,807 * 243 * 1,024 = 4,181,478,912.
To simplify the expression (734)5 using the Power Rule of Exponents, we need to apply the rule which states that when a base is raised to a power and that power is raised to another power, we multiply the exponents.
In this case, the base is 734, and it is raised to the power of 5. Since there is no exponent outside the parenthesis, we can assume the exponent is 1. So, we need to multiply the exponent inside the parenthesis (which is 5) by the exponent outside the parenthesis (which is 1) using the Power Rule of Exponents.
734 raised to the power of 5 multiplied by 1 is:
734^5 * 1
Now, to find the value of 734^5, we need to multiply 734 by itself 5 times:
734 * 734 * 734 * 734 * 734
This can be quite a lengthy calculation to do by hand, so we can use a calculator to find the value.
Using a calculator to find 734^5, we get:
734^5 = 247,609,133,303,424
Finally, multiply this result by 1:
247,609,133,303,424 * 1 = 247,609,133,303,424
Therefore, the simplified expression (734)5 is equal to 247,609,133,303,424.