Using the power rule of exponents to correct as simplified equivalent expression for (19^4)^9
To simplify the expression (19^4)^9 using the power rule of exponents, we can multiply the exponents.
The power rule states that (a^m)^n = a^(m*n), where "a" is the base and "m" and "n" are exponents.
Therefore, we have:
(19^4)^9 = 19^(4*9)
Multiplying the exponents, we get:
19^36
Therefore, the simplified equivalent expression for (19^4)^9 is 19^36.
To simplify the expression (19^4)^9 using the power rule of exponents, we need to multiply the exponents together. The power rule states that (a^b)^c equals a^(b * c).
In this case, we have (19^4)^9, so we can simplify it as follows:
(19^4)^9 = 19^(4 * 9)
Now, we can simplify the exponent:
4 * 9 = 36
Therefore, the simplified expression is:
(19^4)^9 = 19^36
To simplify the expression (19^4)^9 using the power rule of exponents, we need to multiply the outer exponent (9) with the inner exponent (4) in order to obtain the simplified equivalent expression.
The power rule of exponents states that for any base (a) raised to an exponent (m) and then raised to another exponent (n), the result is equal to the base (a) raised to the product of the exponents (m * n).
Applying this rule to our expression, we have:
(19^4)^9 = 19^(4 * 9)
Now, let's calculate the exponent 4 * 9:
4 * 9 = 36
Therefore, the simplified equivalent expression for (19^4)^9 is 19^36.
Note: The power rule of exponents allows us to combine the exponents rather than calculating the entire expression step by step.