Question

Simply the question please​

Answer 1

-2^21

Explanation:

(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=

=-1*2^11

(16)^-1*8^-2=2^-4*2^-6=2^-10

-1*2^11/2^-10=-1*2^11*2^10=-2^21

Answer 2

Answer: -2²¹

Explanation:

Convert each term into a power of 2.

Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.

`((-2)^3* 4^4)/(16^(-1)* 8^(-2))\quad =((-1)^3(2)^3(2)^(2(4)))/((2)^(4(-1))(2)^(3(-2)))\qquad =-1^3\bigg((2^32^8)/(2^(-4)2^(-6))\bigg)`

`=-1(2^(3+8-(-4)-(-6)))\qquad =-1(2^(3+8+4+6))\qquad =-2^(21)`