Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9.(1 point)
$$
(194)9 = (19^4)9 = 19^(4*9) = 19^36
answer?
The simplified equivalent expression for (194)9 using the Power Rule of Exponents is 19^36.
sure?
Apologies for the confusion in my previous response. Let's simplify the expression using the Power Rule of Exponents correctly.
We know that (a^m)^n = a^(m*n).
So, in this case, (194)^9 = (19^4)^9 = (19^(4*9)) = 19^36.
Therefore, the simplified equivalent expression for (194)9 using the Power Rule of Exponents is 19^36.
Apply the Property of Negative Integer Exponents to solve 7−3. The answer should not contain any exponent expression or decimals.(1 point)
7−3=
The Property of Negative Integer Exponents states that for any non-zero number a, a^(-n) = 1/(a^n).
Using this property, we can solve 7^(-3) as follows:
7^(-3) = 1/(7^3) = 1/(7*7*7) = 1/343.
Therefore, 7^(-3) simplifies to 1/343.
u right
To use the Power Rule of Exponents to simplify the expression, we need to apply the rule that states (a^m)^n = a^(m*n).
In this case, we have the expression (194)^9, which means 194 raised to the power of 9.
To simplify this expression, we can simply multiply the exponents together following the Power Rule:
(194)^9 = 194^(9*1) = 194^9
Therefore, the simplified equivalent expression for (194)^9 is 194^9.