Question

Simplify the expression. Write your answer as a power.

Answer 1

= 4^12

16777216

= 16,777,216

Explanation:

-4^5 * -4^7

we add powers in all circumstances where both powers would naturally stay inside brackets = (4^5)x( 4^7) = 4^12

(-4 x-4 x-4 x-4 x -4 ) x (-4x-4x-4x-4x-4x-4x-4)

= -1024 x -16384 = 16777216

because

1024 x 16384 = 16777216

if one was shown as (4^5)^7 then it would be a completely differnet question and then we would multiply the powers but symetrical multiplications like -4^5 x -4^7 we add them.

Answer 2

Explanation:

`\twoheadrightarrow \: \: \sf{ {( - 4)}^(3) \cdot{( - 4)}^(7)}`

As we know that,

`\odot \: \sf{ {a}^(n) \cdot{a}^(m) = {a}^(n + m) }`

So,

`\twoheadrightarrow \: \: \sf{ {( - 4)}^(3 + 7) }`

`\twoheadrightarrow \: \: \sf{ {( - 4)}^(10) }`