Apply the Properties of Integer Exponents to generate an equivalent expression to (5 to the negative3)to the 6 power times 517 divided by 10 to the negative 2 (1 point) Responses 20 20 1500 1 over 500 120 1 over 20 500
To generate an equivalent expression, we can use the properties of integer exponents:
(5^(-3))^6 * 517 / 10^(-2)
First, let's simplify the exponents:
(5^(-18)) * 517 / 10^(-2)
Since any number raised to the power of -1 is equal to its reciprocal, we have:
(1 / 5^18) * 517 / 10^(-2)
Next, let's simplify the division of powers of 10:
(1 / 5^18) * 517 * 10^2
Finally, let's multiply the remaining terms:
(517 * 10^2) / (5^18)
This can be simplified further, but based on the options provided, the closest equivalent expression is:
1500