simplify 4^13 / 3^-15

Answer 1

To simplify this expression, we can rewrite the fraction using the rule that states "when dividing two numbers with the same base, subtract the exponents."

4^13 / 3^-15 can be rewritten as 4^13 * 3^15 (since dividing by a negative exponent is equivalent to multiplying by the positive exponent).

Now, let's simplify the expression further:

4^13 * 3^15 = (2^2)^13 * (3^3)^15 = 2^26 * 3^45

Therefore, the simplified form of 4^13 / 3^-15 is 2^26 * 3^45.