Simplify 4^13÷3^−5
To simplify this expression, we can rewrite it as:
4^13 / 3^-5
Since a negative exponent indicates the reciprocal of the base raised to the positive exponent, we have:
4^13 / (1 / 3^5)
Simplifying further, we can multiply the numerator and denominator by 3^5:
4^13 * 3^5 / 1
Now, we can simplify the expression by performing the exponentiation and multiplication:
(4^13) = (2^2)^13 = 2^26
(3^5) = 3^5
Thus, the simplified expression is:
2^26 * 3^5, or 2,026,277,608 * 243