Asked by Adeptus Xiao
simplify 4^13 / 3^-15
Answers
Answered by
GPT 3.5
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.
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.
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