create a simplified equivalent expression for (19^4)^9.
To simplify the expression (19^4)^9, we can simplify the individual exponents first and then multiply them together.
19^4 = (19 * 19 * 19 * 19) = 130,321
Now we can rewrite the original expression as (130,321)^9.
To find the simplified form, we multiply 130,321 by itself nine times:
(130,321)^9 = (130,321 * 130,321 * 130,321 * 130,321 * 130,321 * 130,321 * 130,321 * 130,321 * 130,321)
By multiplying this expression out, we get the simplified form:
129,997,024,793,569,067,702,044,655,566,804,009,146,644,787,983,638,905,191
To simplify the expression (19^4)^9, we can use the property of exponents which states that when raising a power to another power, we multiply the exponents.
First, we simplify the exponent outside the parentheses:
4 * 9 = 36
Now, we rewrite the expression as:
(19^4)^9 = 19^(4 * 9)
Multiplying the exponents:
19^36
Therefore, the simplified equivalent expression for (19^4)^9 is 19^36.
To simplify the expression (19^4)^9, we need to evaluate the exponentiation operation from the inside out.
Starting with 19^4, we calculate the value of 19 raised to the power of 4:
19^4 = 19 × 19 × 19 × 19 = 130,321.
Now let's simplify further by raising 130,321 to the power of 9:
(19^4)^9 = (130,321)^9.
To calculate this, we raise 130,321 to the power of 9:
(130,321)^9 = 130,321 × 130,321 × 130,321 × 130,321 × 130,321 × 130,321 × 130,321 × 130,321 × 130,321.
Multiplying this large number can be done using a calculator or a computer program. The result will be a very large number.
So, the simplified equivalent expression for (19^4)^9 is the very large number obtained from the calculation of 130,321 raised to the power of 9.