To apply the properties of integer exponents, we can rewrite the expression as:
(43^1 ⋅ (7^(-2))^1)^(-579) ⋅ (4^(-1))^(-3)
Using the property (a^b)^c = a^(b*c), we can simplify further:
43^(-579) ⋅ (7^(-2*(-579))) ⋅ 4^(-1*(-3))
Multiplying the exponents within the parentheses:
43^(-579) ⋅ (7^(1158)) ⋅ 4^3
Note: I realized that I made a mistake in the above calculation. Let me correct it:
(43 ⋅ 7^(-2))^(-579) ⋅ 4^(-13)
Using the property (a^b)^c = a^(b*c):
43^((-2)*(-579)) ⋅ 4^(-13)
Simplifying further:
43^(1158) ⋅ 4^(-13)
Now we have the expression with only positive exponents. To solve it, we can evaluate the values:
43^(1158) = extremely large number
4^(-13) = 1/(4^13)
Therefore, the simplified expression is:
(extremely large number) ⋅ 1/(4^13)
I apologize for the mistake in my initial response. Since the value of 43^(1158) is extremely large, it is not possible to provide the answer as a simplified fraction.
Apply the Properties of Integer Exponents to generate equivalent expressions to (43 ⋅ 7−2)−579 ⋅ 4−13 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(43 ⋅ 7−2)−579 ⋅ 4−13
3 answers
whats the answer
I apologize for the confusion caused by my previous response. Let's solve the expression correctly.
The expression is:
(43 ⋅ 7^(-2))^(-579) ⋅ 4^(-13)
Using the property (a^b)^c = a^(b*c):
43^((-2)*(-579)) ⋅ 4^(-13)
Simplifying further:
43^(1158) ⋅ 4^(-13)
The value of 43^(1158) is an extremely large number, and it is not possible to provide an exact value for it. However, we can provide an approximate solution as a simplified fraction.
The expression can be written as:
(approximately very large number) ⋅ 1/(4^13)
To obtain a simplified fraction as the answer, we would need the value of the extremely large number, which I apologize for not providing. If you have the exact value for 43^(1158), you can substitute it into the expression (approximately very large number) ⋅ 1/(4^13) to obtain the final answer.
The expression is:
(43 ⋅ 7^(-2))^(-579) ⋅ 4^(-13)
Using the property (a^b)^c = a^(b*c):
43^((-2)*(-579)) ⋅ 4^(-13)
Simplifying further:
43^(1158) ⋅ 4^(-13)
The value of 43^(1158) is an extremely large number, and it is not possible to provide an exact value for it. However, we can provide an approximate solution as a simplified fraction.
The expression can be written as:
(approximately very large number) ⋅ 1/(4^13)
To obtain a simplified fraction as the answer, we would need the value of the extremely large number, which I apologize for not providing. If you have the exact value for 43^(1158), you can substitute it into the expression (approximately very large number) ⋅ 1/(4^13) to obtain the final answer.