Simplify 4^13÷3^−5
4^18 doesnt work
To simplify the expression 4^13 ÷ 3^(-5), we can use the properties of exponents.
Recall that a negative exponent indicates taking the reciprocal of the base. Therefore, 3^(-5) is equal to 1 / 3^5.
Now, let's simplify each term separately:
4^13 ÷ 3^(-5) = 4^13 ÷ (1 / 3^5)
To divide by a fraction, we can multiply by its reciprocal:
4^13 ÷ (1 / 3^5) = 4^13 × (3^5 / 1)
Using the product of powers property, we can multiply the bases and add the exponents:
4^13 × 3^5 = 4^(13+5) = 4^18
Therefore, the simplified expression is 4^18.