Use the Power Rule of Exponents to create a simplified equivalent expression for (19 ^ 4) ^ 9 (1 point)
The Power Rule of Exponents states that when raising a power to another power, you multiply the exponents.
Using this rule, we can simplify the expression as follows:
(19 ^ 4) ^ 9 = 19 ^ (4 * 9)
= 19 ^ 36
Therefore, the simplified equivalent expression is 19 ^ 36.
To simplify the expression (19^4)^9 using the Power Rule of Exponents, we can start by multiplying the exponents together.
The Power Rule of Exponents states that for any numbers a and b, (a^b)^c = a^(b*c).
In this case, the base is 19, the initial exponent is 4, and the second exponent is 9. We can use the rule to obtain:
(19^4)^9 = 19^(4*9) = 19^36
Therefore, the simplified equivalent expression is 19^36.
To simplify the expression (19^4)^9 using the Power Rule of Exponents, we can multiply the exponents together.
First, raise 19 to the power of 4:
19^4 = 130,321
Now, raise the result to the power of 9:
(19^4)^9 = 130,321^9
To simplify this expression further, we can multiply the exponents:
130,321^9 = 130,321^(4 * 9)
130,321^(4 * 9) = 130,321^36
Therefore, the simplified equivalent expression for (19^4)^9 is 130,321^36.