Simplify the following expression. 5^-5/2 * 5^9/2

A. 625

B. 1/25

C. 25

D. 5

C. 25

Step-by-step explanation:

When the numbers with same base are multiplied, their powers add up

5^-5/2 * 5^9/2

5^(-5/2 + 9/2)

5^(4/2)

5^2

25

When you multiply a base with an exponent by a base with an exponent, you add the exponents together. (But you can only combine the exponents when the bases are the same)

For example:

 (can't combine the exponents because they have different bases of x and y)

   Your answer is C

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: