quotient rule of exponents practice simplify 4^13 / 3^-5

Answer 1

To simplify the expression 4^13 / 3^-5 using the quotient rule of exponents, we can rewrite the expression as:

4^13 * 3^5

Now, we use the product rule of exponents to simplify:

= 4^13 * (3^2 * 3^3)

= 4^13 * 3^2 * 3^3

Now, we can simplify further by multiplying the coefficients and adding the exponents:

= (4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4) * 3^2 * 3^3

= 8,192 * 3^2 * 3^3

= 8,192 * 9 * 27

= 18,874,368.