To simplify the expression using the properties of integer exponents, we can follow these steps:
First, we apply the power of a product rule, which states that (ab)^n = a^n * b^n. In this case, we have (15^-3 • 4^7)^0, so we can apply the rule to the two bases:
(15^-3)^0 • (4^7)^0
Next, we apply the power of zero rule, which states that any number (except 0) raised to the power of 0 is equal to 1. Therefore, we have:
1 • 1
Finally, we can simplify the expression to just:
1
Therefore, the equivalent expression, generated by applying the properties of integer exponents, is 1.
Which of the following is the equivalent to (15^-3•4^7)^0/4^-3 that has been generated by applying the properties of intiger exponents?
60/4^-3
64
1/64
1•4^-3
1 answer