which of the following is an equivalent expression to (15 exponent -3 times 4 exponent 7) exponent 0/ 4 exponent -3 that has been generated by applying the properties of integer exponents?
1 x 4 exponent -3
64
1/64
60/ 4 exponent -3
The expression (15 exponent -3 times 4 exponent 7) exponent 0/ 4 exponent -3 can be simplified using the properties of integer exponents.
Any number raised to the power of 0 is equal to 1. So, (15 exponent -3 times 4 exponent 7) exponent 0 simplifies to 1.
Similarly, a negative exponent can be written as the reciprocal of the number with the positive exponent. So, 4 exponent -3 is the same as 1/4 exponent 3.
Therefore, the expression simplifies to 1/1/4 exponent 3.
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, 1 divided by 1/4 exponent 3 is the same as multiplying by 4 exponent 3/1.
Now, simplify 4 exponent 3 as 4 * 4 * 4 = 64.
Therefore, the equivalent expression is 1 * 4 exponent 3/1 or 4 exponent 3.
Answer: 64