Simplify each expression.

Question

a: 8^2 * 8^5
b: (-7^4)^2
c: 3^6/3^2
d: -4^9/4^6

My Answers:
a: 64 * 32,768
b: 2401^2
c: 27/9
d: -262144/256

Answer 1

a. 8^7.
b. -7^8.
c. 3^4.
d.

Answer 2

d. (-4)^9/4^6 = (-4)^3 * (-4)^6/4^6 = (-4)^3*4^6/4^6 = (-4)^3.

Note: (-4)^6 = 4^6 because the exponent(6) is an even number.