Simplify 4¹³ ÷ 3−⁵

Question

.(1 point)

Answer 1

To simplify the expression \( 4^{13} \div 3^{-5} \), we can first rewrite the division by a negative exponent as multiplication:

\[ 4^{13} \div 3^{-5} = 4^{13} \times 3^{5} \]

Now, we can express \( 4^{13} \) as \( (2^2)^{13} \):

\[ 4^{13} = (2^2)^{13} = 2^{26} \]

Thus, we can rewrite the expression:

\[ 4^{13} \times 3^{5} = 2^{26} \times 3^{5} \]

The simplified expression is:

\[ 2^{26} \times 3^{5} \]