5 Problems - SHOW ALL WORK!

(5^2)^3=

-(10x^6)^2

(2x^3)^4

(-8x^9)^2

((x-2)^5)^2 Can you distribute the exponent, 2, over the subtraction?

1 answer

(5^2)^3 = 5^(2*3) = 5^6 = 15625

-(10x^6)^2 = -(10^2)*(x^6)^2 = -(100)*(x^12) = -100x^12

(2x^3)^4 = (2^4)*(x^3)^4 = (16)*(x^12) = 16x^12

(-8x^9)^2 = (-8^2)*(x^9)^2 = (64)*(x^18) = 64x^18

((x-2)^5)^2 = (x-2)^(5*2) = (x-2)^10

No, you cannot distribute the exponent, 2, over the subtraction.